1. Find the area of the given quadrilateral ABCD.

ABCD

a) 768 m2 b) 534m2
2
c) 696.5m d) 684m2
5. The perimeter of a square is 124 metres. What is its area?

(a) 448 m²
(b) 884 m²
(c) 764 m²
(a) 45 cm² (d) 961 m²
(b) 50 cm² (SSC CGL 2022)
(c) 40 cm² 6. The area of a square field is 4489 𝒎𝟐 . Find the
(d) 35 cm² perimeter of the field (in cm)?
2. ABCD is a quadrilateral. The length of diagonal AC is 24 cm. The sum of एि वर्ाािार मैदान िा क्षेत्रफल 4489 मी2 है । खेत िा पररमाप
perpendicular drawn from vertex B and D on the diagonal AC is 10 cm.
(सेमी में) ज्ञात िरें ?
What is the area of the quadrilateral?
ABCD AC AC a)290
B D 10 b)272
c)268
(SSC CGL MAINS 2021) d)284
(a)120cm2 (b)90cm2 7. If the diagonal of a square is 18.4 cm, then the
(c)240cm 2 (d) 180 cm2 area of that square is?
3. The area of quadrilateral is 336 m 2 and the यदद किसी वर्ा िा वविणा 18.4 सेमी है , तो उस वर्ा िा क्षेत्रफल
perpendiculars drawn to one diagonal from the opposite
है ? (MTS 2022)
vertices are 16 m and 12 m long. Find the length of this
diagonal A) 84.64 𝒄𝒎𝟐
336 m² B) 338.56𝒄𝒎𝟐
16 m 12 m C) 324.42𝒄𝒎𝟐
(a) 28 cm D) 169.28𝒄𝒎𝟐
(b) 26 cm 8. The area of a square field is 7200 m2. What is the length
(c) 21 cm of its diagonal?
(d) 24 cm एि वर्ाािार मैदान िा क्षेत्रफल 7200m2 है । इसिे वविणा िी
4. Two sides of a plot measure 32m and 24m and the angle
लंबाई क्या होर्ी?
between them is a perfect right angle. The other two sides
measure 25 m each and the other three angles are not right (a) 60 m (b) 1800 m
angles. What is the area of the plot? (c) 180 m (d) 120 m
9. The area of a square field is 24200 square
किसी प्लाट िी दो भुजाएँ 32 m और 24m है और उनिे मध्य
meters. At the rate of 6.6 km/h, how much time
समिोण है ।दो अन्य भुजाएँ में से प्रत्येि िी लंबाई 25m है । will a lady take to cross the field diagonally?
और अन्य तीन िोण, समिोण नही है ।तब प्लाट िा क्षेत्रफल एि वर्ाािार मैदान िा क्षेत्रफल 24200 वर्ा मीटर है . 6.6

ज्ञात िरे । किमी/घंटा िी र्तत से, एि मदहला िो खेत िो वविणा रूप से

पार िरने में कितना समय लर्ेर्ा?
A) 3 minutes
B) 2 minutes
C) 2.4 minutes
D) None of the above

BY Gagan Pratap
 (d) 𝟖√𝟔 𝒄𝒎
10. If the area of a square is 2401x4 + 196x2 + 4, (SSC CGL 2022)
then what is its side length?
यदद एि वर्ा िा क्षेत्रफल 2401x4+196x2+4 है , तो उसिी
15. The base of triangle is equal to the perimeter of a square
लम्बाई कितनी है ?
whose diagonal is 7 2 cm and its height is equal to the
(a) 49x2 + 3x + 2 (b) 49x2 – 3x + 2
side of a square whose area is 169 cm². The area (in cm²)
(c) 49x2 + 2 (d) 59x2 + 2
of the triangle is:
11. A triangle has sides 25, 39, 34 units. If the area of a square
exceeds the area of this triangle by 21 units, then the side 7 2 cm
of the square is: 169 cm² cm²
एि त्रत्रभज
ु िी भज
ु ाएँ 25, 39, 34 इिाई हैं। अर्र वर्ा िा
(a) 182
क्षेत्रफल इस त्रत्रभज
ु िे क्षेत्रफल से 21 इिाई अधिि है तो वर्ा (b) 175
(c) 156
िी भुजा क्या है ?
(d) 130
(SSC CGL 2021 PRE )
(a) 22 units / इिाई (b) 21 units / इिाई 16. What is the area of the square (in cm²) whose vertices lie
(c) 18 units / इिाई (d) 25 units / इिाई on a circle of radius 5 cm?
cm²
12. ABCD is a square, E is a point on AB such that BE=17 cm.
The area of triangle ADE is 84cm2. What is the area of (a) 100
square?
(b) 80
एि वर्ा ABCD है । त्रबंद ु E, भुजा AB पर इस प्रिार स्थित है (c) 50
कि BE=17cm। त्रत्रभुज ADE िा क्षेत्रफल 84cm2 है ।तब वर्ा (d) 75
17. The area (in cm²) of biggest circle that could be drawn in
िा क्षेत्रफल होर्ा- a square of side 18 cm is:
18 cm
(cm² )
(a) 91
(b) 81 
(c) 49 
(d) 168 
SSC CHSL TIER – I 2022
18. ABCD is a square of side 21 cm. A circle is inscribed in the
square, which touches the sides of the square at P, Q, R
a) 400 cm2 b) 625 cm2 c) 729 cm2 d) 576 cm2 and S as shown below in the figure. What is the area (in
13. The sides of two squares are in the ratio 2 : 3 and the sum cm²) of the non-shaded region? (Figure is not drawn to
of their perimeters is 180 cm. Find the area of the larger scale.)
square (in cm²). ABCD,21 cm
2:3 P, Q, R S
180 (cm² )
(a) 729 (cm² ), (=)
(b) 324
(c) 225
(d) 900
14. The diagonal of the square is 8√2 cm. Find the diagonal of
another square whose area is triple that of the first square.
8√2 cm

(a) 𝟖√𝟓 𝒄𝒎
(b) 𝟖√𝟑 𝒄𝒎
(c) 𝟖√𝟐 𝒄𝒎

BY Gagan Pratap
 joined to form a smaller square. This process is
repeated. What will be the perimeter of 8th
square?

40 सेमी भुजा वाले एि वर्ा िे मध्य त्रबंदओ

ु ं िो जोडिर एि
छोटा वर्ा बनाया जाता है । यह प्रकिया दोहराई जाती है . 8वें
वर्ा िा पररमाप क्या होर्ा?

(ICAR TECHNICIAN 2023)

A) 20√𝟐
(a) 88.4
(b) 84.6 B) 20
(c) 90.7 C) 10/√𝟐
(d) 94.5
D) 10√𝟐
19. Each edge of the following square is 20 cm long and a
22. In the given figure, ABCD is a square, EFGH is a square
circle is inscribed in the square as shown. What is the area
formed by joining mid points of sides of ABCD. LMNO is a
of the shaded region? (Use  =  )
20 cm square formed by joining mid points of sides of EFGH. A
circle is inscribed inside EFGH. If area of circle is 38.5cm 2,
(= ) then what is the area (in cm2) of square ABCD?
ददए र्ए धित्र में, ABCD एि वर्ा है । भुजाओ िे मध्य त्रबंद ु िो
ममलािर एि वर्ा EFGH बनाया र्या है ।वर्ा EFGH िे मध्य त्रबंद ु िो
ममलािर एि वर्ा LMNO बनाया र्या है । वर्ा LMNO िे अंदर
अंतहथपर्शी वत्त
ृ खींिा र्या है ।यदद वत्त
ृ िा क्षेत्रफल 38.5cm2 है ।तब
वर्ा ABCD िा क्षेत्रफल ज्ञात िरे ?
(SSC CGL 2017 MAINS)

(a) 88 cm²
(b) 85 cm²
(c) 86 cm²
(d) 84 cm²
20. In the given figure, the ratio of the area of the largest
square to that of the smallest square is:
दी र्ई आिृतत में सबसे बडे वर्ा िे क्षेत्रफल िा सबसे छोटे
a) 98 b) 196 c) 122.5 d) 171.5
वर्ा िे क्षेत्रफल से अनुपात क्या है ? \
23. The width of the path around a square field is 4.5 m and
(SSC CGL 2021 PRE ) its area is 105.75 m². Find the cost of fencing the path at
the rate of `100 per metre.

105.75 m² `100

(a) `550
(b) `275
(c) `600
(d) `400
24. Find area of the shaded region? If side of the square
(a) 4 : 1 (b) √𝟐: 𝟏 ABCD is 10.
(c) 3 : 1 (d) 2 : 1

21. A square of side 40 cm, the midpoints are

BY Gagan Pratap
 27. The perimeter of a rectangle is 22 cm and the
length is 1 cm. what is the area of the triangle?
एि आयत िा पररमाप 22 सेमी और लंबाई 1 सेमी है । त्रत्रभज
ु
िा क्षेत्रफल क्या है ?
SSC GD 2024

A) 11𝒄𝒎𝟐
B) 10𝒄𝒎𝟐
C) 5𝒄𝒎𝟐
D) 20𝒄𝒎𝟐
28. What is the area (in cm2) of a rectangle if its diagonal is
a) 100 b) 50 c) 75 d) 120 39cm and one of its side is 15cm?
25. In the given figure, ABCD is square whose side is 8 cm. एि आयत िा क्षेत्रफल (सेमी2 में) क्या है यदद इसिा वविणा
ABD and BAC are two quadrants. A circle is placed
touching both the quadrants and the square as shown in 39 सेमी है और इसिी एि भुजा 15 सेमी है ?
2 2
the figure what is the area (in cm2) of the circle? a) 480 cm b) 540 cm c) 720 cm2 d) 585 cm2
ददए र्ए धित्र में, वर्ा ABCD िी प्रत्येि भज
ु ा 8cm है ।और दो
29. A field is 150 m long and 80 wide. How many
ितुिाांर्श ABD , BAC है । एि वत
ृ इस प्रिार स्थित है कि times (rounded off to 1 decimal place) is its
यह दोनो ितुिाांर्श और वर्ा िो थपर्शा िरता है ।तब इस वत्त
ृ perimeter to the length of its diagonal?
एक मैदान 150m लंबा और 80 m चौडा है । इसका पररमाप इसके
िा क्षेत्रफल ज्ञात िरे ।(SSC CGL 2017 MAINS)
विकर्ण की लंबाई का वकतना गुना (1 दशमलि स्थान तक
पूर्ाण वकत?है )
1. 2.3 2. 2.5
3. 2.7 4. 3.1

30. The perimeter of a rectangle is 86 cm. The numbers

representing its area and breadth are in the ratio of 9 : 1,
respectively. The breadth of the rectangle is:
86 cm
a) 13/17 b) 11/14 9:1
c) 19/31 d) 15/19
26. ABCD is a square of side 10cm find the area of shaded (a) 32 cm
region? (b) 34 cm
(c) 36 cm
एि वर्ा ABCD है स्जसिी प्रत्येि भज
ु ा 10cm है , तब
(d) 30 cm
छायांकित भार् िा क्षेत्र फल ज्ञात िरे । 31. Length and breadth of rectangular field are in the ratio 5:
2. If the perimeter of the field is 238 m. Find the length of
the field.
किसी आयतािार मैदान िी लंबाई और िौडाई िे मध्य 5 : 2
िा अनुपात है । यंदद उस मैदान िा पररमाप 238 m है , तो
मैदान िी लंबाई ज्ञात िीस्जए।
(a) 85 m (b) 83 m
(c) 82 m (d) 84 m
32. The ratio of the length and the perimeter of a rectangle is
a) 64cm2 b) 36cm2 c) 49cm2 d) 25cm2 2:7. What is the ratio of the length and breadth of the
rectangle?
एि आयत िी लंबाई और पररमाप िा अनुपात 2:7 है । आयत
िी लंबाई और िौडाई िा अनुपात क्या है ? SSC GD 2023

BY Gagan Pratap
 (a) 4:3 (b) 4:5 38. The length of rectangular sheet of paper is 24 cm more
(c) 5:4 (d) 5:3 than the breadth and perimeter of the rectangular sheet is
33. The ratio of length and breadth of a rectangle is 21 : 20 128 cm. Find the length of the rectangular sheet.
and its perimeter is 164 cm. What is the length of its
diagonal (in cm0?
21 : 20 (a) 20 cm
164 cm (cm ) (b) 44 cm
(a) 58 (c) 48 cm
(b) 57 (d) 34 cm
(c) 56 SSC CHSL TIER – I 2022
(d) 55 39. The perimeter of the top of a rectangular table is
34. The length of a rectangular plot is three times its 84 meters and its area is 432 𝒎𝟐 . What is the
length of its diagonal?
breadth. If the area of the rectangular plot is 2700
m2, then what is the breadth of the rectangular plot? एि आयतािार मेज िे र्शीर्ा िा पररमाप 84 मीटर है और इसिा
एक आयताकार भूखंड की लम्बाई उसकी चौडाई की तीन गुनी है । यवद क्षेत्रफल 432 𝒎𝟐 है । इसिे वविणा िी लंबाई क्या है ?
आयताकार भूखंड का क्षेत्रफल 2700 m2 है , तो आयताकार भूखंड की SSC GD 2024
चौडाई वकतनी है ? A) 18 m
SSC CHSL MAINS 2022 B) 24 m
(a) 12 m C) 35 m
D) 30 m
(b) 28 m 40. If the perimeter of a rectangle is 25 cm and the
area is 25 cm2, then its length is:
(c) 30m
यदद एि आयत िा पररमाप 25 सेमी है और क्षेत्रफल25 सेमी2
(d) 20m है , तो इसिी लंबाई है :
35. The perimeter and length of a rectangle are in the ratio of (a) 6.25cm (b) 12.5 cm
8: 1, and the area of the rectangle is 1323 cm 2. Find the (c) 7.5 cm (d) 10cm
length of the rectangle. 41. The perimeter of a rectangles is 80 cm and its area is 375
एि आयत िी पररमाप और लंबाई िा अनुपात 8: 1 है और sq.cm. What is the difference between the length and the
breadth of the rectangle?
इसिा क्षेत्रफल 1323 cm2 है । इसिी लंबाई ज्ञात िरें ।
एि आयत िा पररमाप 80 सेमी है और इसिा क्षेत्रफल 375
(a) 22 cm (b) 23 cm
(c) 25 cm (d) 21 cm वर्ा सेमी है तो आयत िी लंबाई और िौडाई मे क्या अंतर
36. The ratio of the length and breadth of a rectangle is है ?
5 : 6 and its area is 6,750 cm 2 Find the ratio of the (a) 12 cm (b) 20 cm
length to the area of the rectangle. (c) 10 cm (d) 16 cm
वकसी आयत की लंबाई तथा चौडाई का अनुपात 5 : 6 है तथा इसका 42. The diagonal of the floor of a rectangular closet
𝟏
क्षेत्रफल 6,750 cm2 है । आयत की लंबाई तथा क्षेत्रफल का अनुपात is 10 feet and the length of the shorter side is
𝟐
ज्ञात करें । UP Constable 27/01/2019 (1st Shift) 𝟏
4 feet. Find the area of half of the closet in
𝟐
(square feet)?
(a) 1 : 80 (b) 1 : 84
एि आयतािार िोठरी िे फर्शा िा वविणा 10 फुट है और छोटी
𝟏
𝟐
(c) 1 : 100 (d) 1 : 90
भज
ु ा िी लंबाई 4.5 फुट है । आिी िोठरी िा क्षेत्रफल (वर्ा फुट)
37. The length and breadth of a rectangle are in the ratio 3:
में ज्ञात िरें ?
2. If its perimeter is 730 cm, what is the area of the
𝟐√𝟑
rectangle? a)
𝟓
एि आयत िी लंबाई और िौडाई िा अनुपात 3 : 2 है । यदद b)
𝟐𝟐√𝟕
𝟑
इसिा पररमाप 730 cm है , तो आयत िा क्षेत्रफल ज्ञात िरें । 𝟐𝟕√𝟏𝟎
c)
𝟒
(a) 31,974 cm2 (b) 24,452 cm2 𝟏𝟑√𝟑
(c) 20,567 cm2 (d) 28,976 cm2 d)
𝟐

BY Gagan Pratap
43. If length of a rectangle is increased to its three times and 48. The perimeter of a rectangle and a square are
breadth is decreased to its half, then the ratio of the area 160 m each. The area of the rectangle is less than
of given rectangle to the area of new rectangle is:
that of the square by 100 m2The length of the
rectangle is _________.
एि आयत और एि वर्ा मेंसप्र
े त्येि िा पररमाप 160 m है ।
(a) 3:2
(b) 3:1 आयत िा क्षेत्रफल, वर्ा िे क्षेत्रफल से 100 m2 िम है । आयत
(c) 2:3 िी लंबाई _________ है ।
(d) 1:3
44. The area of a rectangle and the square of its (a) 60 m
perimeter are in the ratio 1 : 25. Then the (b) 65 m
lengths of the shorter and longer sides of the
rectangle are in the ratio (c) 55 m

एि आयत िा क्षेत्रफल और पररमाप िा वर्ा 1: 25 िे (d) 50 m

अनुपात में है । कफर आयत िी छोटी और बडी भुजा िी 49. The perimeter of the rectangle is 280 m and the
difference between its two sides is 40m. Find the
लंबाई अनुपात में है ? side of a square whose area is equal to the area
(a) 1 : 4 (b) 2 : 9 of this rectangle.
(c) 1 : 3 (d) 3 : 8 आयत िा पररमाप 280 m है और इसिी दोनों भुजाओं िे बीि
45. To make two triangles, a rectangular paper cuts along one
of the diagonals. If every diagonal of the rectangle is 8√13 िा अंतर 40 m है । एि ऐसे वर्ा िीभुजा ज्ञात िीस्जए स्जसिा
cm and length is 1.5 times compared to the width, what is क्षेत्रफल इस आयत िे क्षेत्रफल िे बराबर है ।
the area of the rectangle?
(a)𝟒𝟓√𝟔 𝒎
दो त्रत्रभुज बनाने िे मलए एि आयतािार िार्ज िो ततरछा
(b)𝟑𝟎√𝟓 𝒎
िाटा जाता है .यदद आयत िा प्रत्येि वविणा 8√13 सेमी है (c) 𝟑𝟎√𝟔 𝒎
.और िौडाई िी तुलना में लम्बाई 1.5 र्ुनी है तो आयत िा (d) 𝟒𝟓√𝟓 𝒎
50. A square park has been divided into two rectangles of
क्षेत्रफल क्या है ? equal area. If the perimeter of each of these rectangles is
a) 324 b) 384 c) 352 d) 480 39 m, then what will be the perimeter of the square park?
46. A boy walked along two adjacent sides of a rectangular
field. If he had walked along the diagonal, then he would 39 m
have saved a distance equal to one-fourth of the larger
side. The ratio of the larger to the smaller side is: (a) 104 m
(b) 39 m
(c) 78 m
(d) 52 m
51. The length of a rectangle is 4m more than side of a square
(a) 7 : 24 (b) 11 : 18 and the breadth of the rectangle is 4 m less than the side
(c) 24 : 7 (d) 18 : 11 of the same square. If the area of this square is 567 sq.m,
47. The perimeter of a rectangle is equal to the what is the area of the rectangle?
perimeter of a square. If the length and the
किसी आयत िी लंबाई एि वर्ा िे भुजा से 4m अधिि है
breadth of the rectangle are 10 cm and 8 cm,
respectively, then what will be the area of the और िौडाई वर्ा िी भज
ु ा से 4m िम है ।यदद वर्ा िा क्षेत्रफल
square? 567 sq. m है ।तब आयत िा क्षेत्रफल क्या होर्ा?

10 cm 8 cm a) 549 b) 545 c) 557 d) 551

52. The area of a square is 1156 cm². What is the respective
(a) 72 cm² ratio between the length and the breadth of a rectangle
(b)98 cm² whose length is twice the side of the square and whose
(c) 81 cm² breadth is 14 cm less than the side of the square?
(d) 64 cm² 1156 cm²

BY Gagan Pratap
 (a) 16 : 7 (b) 4768
(b) 19 : 5 (c) 2940
(c) 17 : 5 (d) 6342
(d) 21 : 19 57. The cost of tilling the floor of a rectangular room is `9100
SSC CHSL TIER – I 2022 at `65 per m². The ratio of the length and breadth of the
53. The length of a rectangle is 10 cm more than the side of a floor is 7 : 5. The perimeter (in m) of the floor of the room
square and its breadth is 8 cm less than the side of the is:
square. If the areas of both the rectangle and square is `65 m²
same , then what will be the perimeter (in cm) of the `9,100
rectangle? 7:5 m
(a) 48
(b) 24
(c) 36
(a) 164 (d) 28.8
(b) 160 58. The length and the breadth of a rectangular field are in
(c) 156 the ratio 3 : 2. If the area of the field is 3456 m2, then what
(d) 144 is the cost of fencing the field at the rate of Rs.3.50 per m?
54. If the length of certain rectangle is decreased by 4 cm and 3:2
breadth is increased by 2 cm, it would result in a square 3456 m² Rs. 3.50
of the same area. What is the perimeter of the original
rectangle? (a) Rs. 240
(b) Rs. 840
(c) Rs. 480
(d) Rs. 420
(a) 15 cm
(b) 24 cm 59. A room is 15.5 m long and 8.1 m wide. Its floor
(c) 20 cm is to be covered with rectangular tiles of size 25
(d) 10 cm cm x 9 cm. Find the total cost (in ₹) of tiling the
(SSC CGL 2022) floor at the rate of ₹6.25/tile.
55. If length of a rectangle is decreased by 6 cm, we m m 25 cm
get a square and the area of the square so formed x 9 cm
is 252 square cm less than the area of the square
formed, when breadth of the original rectangle is
increased by 6 cm. find the perimeter of the
rectangle? 1. 32,085 2. 34,875

यदद एि आयत िी लंबाई में 6 सेमी िी िमी िी जाती है , तो 3. 36,270 4. 33,480

हमें एि वर्ा ममलता है और इस प्रिार बने वर्ा िा क्षेत्रफल उस
( ICAR Technician 2023)
वर्ा िे क्षेत्रफल से 252 वर्ा सेमी िम होता है , जब मूल आयत
60. Dipesh takes 50sec to cross a rectangular field
िी िौडाई में 6 सेमी िी वद्
ृ धि िी जाती है । आयत िा पररमाप diagonally, walking at a rate of 90 m/min.
ज्ञात िीस्जए? Kalpana crosses the same field in 45sec,
walking along its sides at a rate of 124m/min.
A) 42 cm C) 88 cm
What is the area of the field? (in square meter)
B) 80 cm D) 84cm
56. The area of a square shaped field is 1764 m². The breadth दीपेर्श
𝟏
of a rectangular park is th of the side of the square field
𝟔
and the length is four times its breadth. What is the cost
(in `) of levelling the park at `30 per m²?
1764 m²
𝟏 (a) 1584 (b) 1560
𝟔 (c) 1350 (d) 1512
`30 m²
`
(a) 5880

BY Gagan Pratap
61. The area of a triangular field whose sides are 65 m, 72 m, B) 6,274
and 97 m is equal to the area of a rectangular park whose
sides are in the ratio of 5 : 13. What is the perimeter (in C) 5,229
m) of the rectangular park?
65m, 72m, 97m D) 4,184
65. The perimeter of a rectangle and an equilateral triangle
5 : 13 are same. Also, one of the sides of the rectangle is equal to
(a) 108 the side of the triangle. The ratio of the areas of the
(b) 180 rectangle and the triangle is:
(c) 216 किसी आयत और एि समबाहु त्रत्रभुज िा पररमाप समान
(d) 144 है ।आयत िी एि भुजा त्रत्रभुज िी भुजा िे बराबर है ।तब
62. The area of a triangular park with sides 88 m,
आयत और त्रत्रभुज िे क्षेत्रफल िा अनुपात क्या होर्ा?
165 m, and 187 m is equal to the area of a
rectangular plot whose sides are in the ratio 5:3. a) √3:1 b) 1: √3 c) 2: √3 d) 4:√3
What is the perimeter (in m) of the plot?
66. In the given figure, PM is one –fourth of PQ and
m, m m
PN is three-fifth of NS. If the area of PMRN is
m 12.5cm2, then what is area (cm2) of PQRS?
1. 352 2.384 ददए र्ए धित्र में, PM , भुजा PQ िा एि िौिाई है ।और PN,भुजा
NS िा 3/5 र्न
ु ा है ।यदद PMRN िा क्षेत्रफल 12.5cm2 है । तब
3.400 4.320
PQRS िा क्षेत्र फल होर्ा-
( ICAR Technician 2023)

63. The area of a triangular field whose sides are 96 m, 110 m,

and 146 m is equal to the area of a rectangular park whose
sides are in the ratio 3 : 2. What is the perimeter (in m) of
the rectangular park?
96 m, 110 m 146 m

3:2
(a) 80 5
a) 60 b) 40 c) 37.5 d) 52.5
(b) 40 55 2
67. A rectangular lawn 60×40 m has two roads each 5m wide
(c) 20 55 running between the park. One is parallel to width. Cost
of gravelling is 60 paise /m2. Find the total cost of
(d) 40 11 gravelling.
64. The sides of a triangular park are 100 m,
एक आयताकार पाकक जिसकी माप 60×40 m2 है ।पाकक के
156 m and 224 m. Its area is equal to the
area of a rectangular field whose sides मध्य से 5m चौड़ाई के दो रास्ते िाते है ।िो पाकक की लंबाई
are in the ratio 21 : 20. What will be the
और चौड़ाई के समान्तर है । 60 paise /m2 की दर से पत्थर
cost (in Rs.) of putting fence around the
rectangular field at a rate of Rs. 25.50 बबछाने पर कुल लागत क्या होगी।
per metre? a) Rs. 285 b) Rs. 300 c) Rs. 275 d) Rs. 270
एक त्रिभुजाकार पाकक की भुजाएँ 100 मी, 156 मी और 68. A rectangular plot, 55m long and 45m broad, has two
concrete crossroads (of equal width) running in the
224 मी हैं। इसका क्षेिफल एक आयताकार खेत के middle of it one parallel to the length and the other
क्षेिफल के बराबर है जजसकी भुजाएँ 21:20 के अनुपात parallel to the breadth. The rest of the plot is used as a
lawn. If the area of the lawn is 1911m2, what is the width
में हैं। आयताकार खेत के चारों ओर 25.50 प्रतत मीटर
of each of the crossroads (in m)?
की दर से बाड़ लगाने की लागत (रु. में) क्या होगी? एक आयातकार पाकक की माप 55m×45m है ।पाकक के बीच से
(ICAR Assistant 2022)
होकर दो रास्ते िाते है िो पाकक की लंबाई और चौड़ाई के
A) 8,364

BY Gagan Pratap
 समान्तर है । रास्ते के अलावा शेष भाग में लॉन है ।यदद लॉन
72. The difference between the lengths of two
parallel sides of a trapezium is 12 cm. The
का क्षेत्रफल 1911 m2 है ।तब रास्ते की चौड़ाई क्या होगी? perpendicular distance between these two
a) 5 b) 5.5 c) 6 d) 4 parallel sides is 60 cm. If the area of the
69. A rectangular park is 120 m long and 104 m wide. trapezium is 1380 𝒄𝒎𝟐 , then find the length (in
A 1m wide path runs along the boundary of the cm) of each parallel side?
park, remaining completely within the park area.
एक समलम्ब की दो समान्तर भुिाओं की लम्बाई के बबच का
Thus, the outer edge of the path runs along the
boundary wall of the park. A white line of अंतर 12 cm है । इन दोनों समान्तर भुिाओं के बबच की लंबवत
negligible thickness is to be painted along the दरू ी 60 cm है । यदद समलम्ब का क्षेत्रफल 1380 𝑐𝑚2 है , तो
inner edge of the path. If it costs Rs 2.5 to paint
each meter white line, then how much will it cost प्रत्येक समान्तर भुिा की लम्बाई (cm में) ज्ञात कीजिये?
(in Rs) to paint the inner edge of the road A) 31, 19
completely? B) 24, 12
एक आयताकार पाकक 120 m लम्बा है और 104m चौड़ा है । पाकC) क 27, 15
D) 29, 17
की सीमा के साथ-साथ एक 1m चौड़ा रास्ता चलता है , िो पाकक के
क्षेत्र के पूरी तरह से भीतर रहता है । इस प्रकार, रास्ते के बाहरी73. A farmer's land is in the shape of a trapezium
which has its parallel sides measuring 6.32
ककनारे , पाकक की चारदीवारी के साथ चलते है । रास्ते के अंदर के
yards and 7.68 yards and the distance between
ककनारो को नगण्य मोटाई की एक सफ़ेद रे खा पोती िानी है । यदद the parallel sides is 5.50 yards. The cost of
ploughing the land is Rs. 1200 per square yard.
प्रत्येक मीटर पर सफ़ेद रे खा पोतने पर Rs 2.5 का खचक आता है ,
What amount have to be spent in order to
तो रास्ते के अंदर के ककनारो का परू ी तरह से पोतने के ललए ककतना plough the entire land?
खचक आएगा (Rs में)? (SSC CGL MAINS 2022) एक ककसान की भूमम एक समलंब के आकार की है जजस की
A) 1100 lमानांतर भुजाएँ 6.32 गज (yards) और 7.68 गज हैं और
B) 1120
समानांतर भुजाओं के बीच की दरू ी 5.50 गज है । भूमम की
C) 1080
D) 1090 जत
ु ाई की लागत Rs. 1200 प्रतत वगक गज है । परू ी भमू म को
70. Parallel sides of a trapezium are 15 cm and 16
जोतने के मलए ककतनी रामि खचक करनी होगी ? (MTS 2022)
cm and its area is 961 square cm. what is the
(a) Rs.36600 (b) Rs.46200
distance between parallel sides?
(c) Rs.32500 (d) Rs.55400
एि समलंब िी समानांतर भज
ु ाएँ 15 सेमी और 16 सेमी हैं और
इसिा क्षेत्रफल 961 वर्ा सेमी है । समांतर भुजाओं िे बीि िी
दरू ी क्या है ?
SSC GD 2024
A) 62 cm
B) 15.5 cm
C) 31 cm
D) 93 cm
71. Area of a field in the shape of a trapezium is 1440cm2. The
perpendicular distance between its parallel sides is 24cm
and the ratio of parallel sides is 5:3. Then find the longer
parallel sides?
समलम्ब चतुभज
ुक आकृतत के एक मैदान का क्षेिफल1440cm2
है ।समान्तर भुजाओ के बीच की लम्बवत दरू ी 24cm है और
समान्तर भुजाओ का अनुपात 5:3 है ।तब समान्तर भुजाओ में से
बड़ी भुजा का मान ज्ञात करे ।
a)65 b)70 c)75 d)80

BY Gagan Pratap