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Mensuration Set 11

The document presents a series of mathematical problems related to geometry, area, and perimeter, along with multiple-choice answers for each problem. Topics include calculating paint costs for a room, fencing costs for a park, properties of squares, cylindrical volume, and relationships between length and breadth in rectangles. Each problem is followed by a selection of potential answers, indicating the need for calculations to determine the correct solution.

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Prasanta Mishra
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31 views4 pages

Mensuration Set 11

The document presents a series of mathematical problems related to geometry, area, and perimeter, along with multiple-choice answers for each problem. Topics include calculating paint costs for a room, fencing costs for a park, properties of squares, cylindrical volume, and relationships between length and breadth in rectangles. Each problem is followed by a selection of potential answers, indicating the need for calculations to determine the correct solution.

Uploaded by

Prasanta Mishra
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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1.

A room of dimensions 12*8*6 in meters has one door of dimensions


0.5*0.4 in meters and one more window of dimensions 1*0.5 in meter.
Find the cost of applying paint on the four walls along with the ceiling
of the room but excluding the door and windows at Rs. 40/m^2.
Rs. 13298

Rs. 11267

Rs. 14259

Rs. 13284

Rs. 15250

2. The perimeter of a rectangular park is 178 more than the length of the
rectangular park. The cost of fencing the boundary of the park at the
rate of Rs. 7 per m is Rs. 1708. A path has been made inside the park
of width 4 m along its boundary. Find the cost of paving the path with
marbles at the rate of Rs. 9 per m^2.
Rs. 7700

Rs. 8208

Rs. 7454

Rs. 8520

Rs. 8000

3. There is a square of side x cm. Another square is made by joining the


mid-points of sides of that square and this process is repeated
infinitely. If the perimeter of all the squares thus formed is
120(2+(2)^1/2) cm, find the value of x.
50 cm

30 cm

60 cm

40 cm
25 cm

4. A cylindrical container of height 20 cm contains water which is 40% of


the total volume of the container. If the longest pencil that can fit the
container is of length 29 cm, find the quantity of water present in the
cylindrical container. (Take pi = 3)
2646 cm^3

2885 cm^3

2256 cm^3

2770 cm^3

2600 cm^3

5. The area of a rectangle gets reduced by 9 square units,if its length is


reduced by 5 units and breadth is increased by 3 units.If we increase
the length by 3 units and breadth by 2 units, then the area is
increased by 67 square units. Find the length and breadth of the
rectangle.
15 m , 5 m

17 m , 9 m

11 m , 8 m

10 m , 9 m

17 m , 6 m

6. The area of a rectangle gets reduced by 9 square units,if its length is


reduced by 5 units and breadth is increased by 3 units. If we increase
the length by 3 units and breadth by 2 units, then the area is
increased by 67 square units. Find the area of the rectangle?
150 m
144 m

162 m

149 m

153 m

7. The length of a plot is four times its breath. A playground measuring


900 sq. meters occupies one – fourth of the total area of a plot. What
is the length of the plot in meter.?
110 m

95 m

80 m

120 m

100 m

8. If the length of a rectangle decreases by 5 m and breadth increases by


3 m, then its area reduces 9 sq m. If length and breadth of this
rectangle increased by 3 m and 2 m respectively, then its area
increased by 67 sq m. What is the length of rectangle?
16 m

13 m

15 m

17 m

19 m

9. The perimeter of a rectangle and a square is 160 cm each. If the


difference between their areas is 500 cm. If the area of the rectangle
is less than that of a Square then find the area of the rectangle
1444 cm²

1330 cm²

1250 cm²

1000 cm²

1100 cm²

10. The perimeter of a square is equal to twice the perimeter of a


rectangle of length 8 cm and breadth 7 cm. What is the circumference
of a semicircle whose diameter is equal to the side of the square ?
35.73 cm

33.15 cm

36.62 cm

38.57 cm

30.11 cm

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