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\ 06-Jan-2025 Bharat Arora Proof-7 Reader’s Sign _______________________ Date __________

Practice Time 10B

1. Find the area of the following trapeziums.
(a) P 7 cm Q (b) M 13 cm N (c) A 20 cm B

4 cm 10 cm 13 cm

S 9 cm R P 21 cm O
D 25 cm C
2. Find the area of the following quadrilaterals.

(a) B (b) B (c) B
F 10cm C 3 cm F C 2.5 cm
11cm E 6 cm 3 cm

A 9 cm E A 5 cm A 4 cm C

D 2.5 cm
D
D
3. Find the area of a trapezium whose parallel sides are 225 mm and 295 mm, and the distance between
them is 150 cm.
4. The shape of the top surface of a table is a trapezium. Find the area if its 1 m
parallel sides are 1 m and 1.2 m, and the perpendicular distance between 0.8 m
them is 0.8 m.
5. Find the area of a trapezium whose parallel sides are 13 cm and 21 cm, and 1.2 m
the distance between them is 10 cm.

6. The given picture frame has outer dimensions of 28 cm × 24 cm and inner I
dimensions of 20 cm × 16 cm. Find the area of the sections I, II, III and IV of
the frame if the width of each section is same. 24 cm IV 16 cm II

7. The lengths of the parallel sides of a trapezium are 63 cm and 101 cm. If the 20 cm
2
area of the trapezium is 1968 cm , find the distance between the parallel sides. III
2
8. The area of a trapezium is 540 cm and the altitude is 18 cm. If one of the 28 cm
parallel sides is 6 cm longer than the other, find the length of both the parallel sides.
9. A builder bought a trapezium-shaped field to develop a residential Road
society. One of the sides of the plot along the river is parallel to and
twice the side along the road. If the area of this plot is 22338 sq. m,
and the perpendicular distance between the two parallel sides is 102 m
102 m. Find the length of the side of the plot along the river.
2
10. The area of a rhombus is 432 cm and one of its diagonals is 36 cm. River
Find the other diagonal.

11. The footpath at a park is to be paved with 2500 rhombus-shaped bricks
(see adjacent figure). If the diagonals of a brick are 15 cm and 20 cm
respectively, find the total cost of paving the bricks at the rate of `100
2
per m .
12. The diagonals of a rhombus are 24 cm and 32 cm. Find its area and the length of the side of the rhombus.

Mathematics-8 238