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Trapezium Homework

The document contains 13 math problems involving geometry concepts like finding the area and perimeter of triangles, rectangles, parallelograms, circles, and other shapes. The problems provide the measurements of the shapes and ask the reader to calculate various properties like area, perimeter, length of sides, distance between sides, and distance traveled by a wheel based on the given information.

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57 views4 pages

Trapezium Homework

The document contains 13 math problems involving geometry concepts like finding the area and perimeter of triangles, rectangles, parallelograms, circles, and other shapes. The problems provide the measurements of the shapes and ask the reader to calculate various properties like area, perimeter, length of sides, distance between sides, and distance traveled by a wheel based on the given information.

Uploaded by

sureimprovement.online
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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12/02/2024

12 February 2024 19:59

1.Find the area of a triangle, whose sides are : by Herons Formula


(i) 10 cm, 24 cm and 26 cm (3)

2. Two sides of a triangle are 6 cm and 8 cm. If height of the triangle corresponding to 6
cm side is 4 cm ; find :
(i) area of the triangle
(ii) height of the triangle corresponding to 8 cm side. (3)

Taksh(maths_2) Page 1
3.The area of an equilateral triangle is 144√3 cm2; find its perimeter. (2)

4.One of the equal sides of an isosceles triangle is 13 cm and its perimeter is 50 cm. Find
the area of the triangle. (3)

Taksh(maths_2) Page 2
5.The area of a small rectangular plot is 84 m. If the difference between its length and the
breadth is 5 m; find its perimeter. (3)

Taksh(maths_2) Page 3
6. Each side of a rectangle is doubled. Find the ratio between :
(i) perimeters of the original rectangle and the resulting rectangle.
(ii) areas of the original rectangle and the resulting rectangle. (3)

7.A parallelogram has sides of 15 cm and 12 cm; if the distance between the 15 cm sides
is 6 cm; find the distance between 12 cm sides. (3)

8.The diagonals of a rhombus are 18 cm and 24 cm. Find: (3)


(i) its area ;
(ii) length of its sides.
(iii) its perimeter;

9.The area of a trapezium is 279 sq.cm and the distance between its two parallel sides is
18 cm. If one of its parallel sides is longer than the other side by 5 cm, find the lengths
of its parallel sides. (4)

10.The circumference of a circular table is 88 m. Find its area. (2)

11.Find the area of a flat circular ring formed by two concentric circles (circles with same
centre) whose radii are 9 cm and 5 cm. (3)

12.The radii of the inner and outer circumferences of a circular running track are 63 m and 70 m respectively. Find :
(i) the area of the track ; (ii) the difference between the lengths of the two circumferences of the track (5)

13.The radius of a circular wheel is 42 cm. Find the distance travelled by it in : (3)
(i) 1 revolution ;
(ii) 50 revolutions ;
(iii) 200 revolutions ;

Taksh(maths_2) Page 4

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