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#### Measurements Important Questions

7th Standard EM

Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 50
4 x 1 = 4
1. The perimeter of a parallelogram whose adjacent sides are 6 cm and 5 cm is

(a)

12 cm

(b)

10 cm

(c)

24 cm

(d)

22 cm

2. The base of the parallelogram with area is 52 sq. cm and height 4 cm is

(a)

48 cm

(b)

104 cm

(c)

13 cm

(d)

26 cm

3. The height of the rhombus whose area 96 sq. m and side 24 m is

(a)

8 m

(b)

10 m

(c)

2 m

(d)

4 m

4. when the non-parallel sides of a trapezium are equal then it is known as

(a)

a square

(b)

a rectangle

(c)

an isosceles trapezium

(d)

a parallelogram

5. 8 x 2 = 16
6. Find the area and perimeter of the following parallelograms:

7. Find the missing values.

 S.No Base Height area (i) 18 cm 5 cm (ii) 8 m 56 sq.m (iii) 17 mm 221 sq.mm
8. Janaki has a piece of fabric in the shape of a parallelogram. Its height is 12 m and its base is 18 m. She cuts the fabric into four equal parallelograms by cutting the parallel sides through its mid-points. Find the area of each new parallelogram

9. A ground is in the shape of parallelogram. The height of the parallelogram is 14 metres and the corresponding base is 8 metres longer than its height. Find the cost of levelling the ground at the rate of Rs.15 per sq. m.

10. Find the area of a rhombus whose base is 14 cm and height is 9 cm.

11. The area of a rhombus is 100 sq. cm and length of one of its diagonals is 8 cm. Find the length of the other diagonal

12. The area of a trapezium is 180 sq. cm and its height is 9 cm. If one of the parallel sides is longer than the other by 6 cm, find the length of the parallel sides.

13. In the following figure, PQRS is a parallelogram find x and y.

14. 5 x 3 = 15
15. Find the area and perimeter of the parallelogram given in the figures
.

16. A parallelogram has adjacent sides 12 cm and 9 cm. If the distance between its shorter sides is 8 cm, find the distance between its longer side

17. The parallel sides of a trapezium are 23 cm and 12 cm. The distance between the parallel sides is 9 cm. Find the area of the trapezium

18. The area of a trapezium is 352 sq. cm and the distance between its parallel sides is
16 cm. If one of the parallel sides is of length 25 cm then find the length of the other side.

19. ABCD is a rhombus. Find x, y, and z

20. 3 x 5 = 15
21. Find the area of the rhombus whose side is 17 cm and the height is 8 cm.

22. If the area of the rhombus is 60 sq. cm and one of the diagonals is 8 cm, find the length of the other diagonal.

23. The floor of an office building consists of 200 rhombus shaped tiles and each of its length of the diagonals are 40 cm and 25 cm. Find the total cost of polishing the floor at 45 per sq.m.