EduSahara™ Worksheet

Question 1

1.

In quadrilateral PQRS, if diagonal QS = 17.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 15.42 cm and 9.56 cm respectively, then height of the vertex R to the diagonal QS is

(i)

8.56 cm
(ii)

11.56 cm
(iii)

9.56 cm
(iv)

7.56 cm
(v)

10.56 cm

Question 2

2.

In quadrilateral PQRS, if diagonal QS = 14.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 10.95 cm and 13.13 cm respectively, then area of the quadrilateral =

(i)

184.56 sq.cm
(ii)

168.56 sq.cm
(iii)

141.56 sq.cm
(iv)

155.56 sq.cm
(v)

173.56 sq.cm

Question 3

3.

In quadrilateral PQRS, if diagonal QS = 19.00 cm, height of vertex P to the diagonal QS is 9.47 cm and area is 216.51 sq.cm, then height of the vertex R to the diagonal QS is

(i)

10.32 cm
(ii)

13.32 cm
(iii)

8.32 cm
(iv)

16.32 cm
(v)

18.32 cm

Question 4

4.

In quadrilateral PQRS, if area is 155.92 sq.cm, height of vertex P to the diagonal QS is 11.94 cm, and height of vertex R to the diagonal QS is 7.55 cm, then diagonal QS =

(i)

16.00 cm
(ii)

11.00 cm
(iii)

21.00 cm
(iv)

19.00 cm
(v)

13.00 cm

Question 5

5.

In trapezium ABCD, if distance between the parallel sides is 11.20 cm and lengths of the parallel sides AB = 15.00 cm and CD = 7.00 cm, then area of the trapezium =

(i)

116.20 sq.cm
(ii)

123.20 sq.cm
(iii)

150.20 sq.cm
(iv)

141.20 sq.cm
(v)

109.20 sq.cm

Question 6

6.

In trapezium ABCD, if area is 93.56 sq.cm and lengths of the parallel sides are AB = 14.00 cm and CD = 7.00 cm, then distance between the parallel sides AB and CD =

(i)

7.91 cm
(ii)

9.91 cm
(iii)

10.91 cm
(iv)

6.91 cm
(v)

8.91 cm

Question 7

7.

In trapezium ABCD, if one of the parallel sides AB = 18.00 cm and distance between parallel sides AB and CD is 12.44 cm and area is 174.16 sq.cm, then parallel side CD =

(i)

15.00 cm
(ii)

5.00 cm
(iii)

10.00 cm
(iv)

13.00 cm
(v)

7.00 cm

Question 8

8.

In rhombus PQRS, if diagonals QS = 17.00 cm and PR = 16.94 cm, the area of the rhombus =

(i)

161.99 sq.cm
(ii)

158.99 sq.cm
(iii)

116.99 sq.cm
(iv)

143.99 sq.cm
(v)

136.99 sq.cm

Question 9

9.

In rhombus PQRS, if one of the diagonals QS = 20.00 cm and area is 323.10 sq.cm, the diagonal PR =

(i)

27.31 cm
(ii)

29.31 cm
(iii)

32.31 cm
(iv)

37.31 cm
(v)

35.31 cm

Question 10

10.

If the side of a square is 13.00 cm, the perimeter of the square =

(i)

47.00 cm
(ii)

57.00 cm
(iii)

55.00 cm
(iv)

49.00 cm
(v)

52.00 cm

Question 11

11.

If the side of a square is 17.00 cm, the area of the square =

(i)

272.00 sq.cm
(ii)

281.00 sq.cm
(iii)

293.00 sq.cm
(iv)

314.00 sq.cm
(v)

289.00 sq.cm

Question 12

12.

If the side of a square is 20.00 cm, the length of the diagonal of the square =

(i)

25.28 cm
(ii)

28.28 cm
(iii)

23.28 cm
(iv)

31.28 cm
(v)

33.28 cm

Question 13

13.

If the perimeter of a square is 80.00 cm, the side of the square =

(i)

20.00 cm
(ii)

17.00 cm
(iii)

23.00 cm
(iv)

25.00 cm
(v)

15.00 cm

Question 14

14.

If the perimeter of a square is 80.00 cm, the area of the square =

(i)

417.00 sq.cm
(ii)

400.00 sq.cm
(iii)

392.00 sq.cm
(iv)

416.00 sq.cm
(v)

376.00 sq.cm

Question 15

15.

If the area of a square is 196.00 sq.cm, the side of the square =

(i)

19.00 cm
(ii)

9.00 cm
(iii)

17.00 cm
(iv)

11.00 cm
(v)

14.00 cm

Question 16

16.

If the area of a square is 144.00 sq.cm, the perimeter of the square =

(i)

53.00 cm
(ii)

48.00 cm
(iii)

43.00 cm
(iv)

51.00 cm
(v)

45.00 cm

Question 17

17.

If the area of a square is 100.00 sq.cm, the length of the diagonal of the square =

(i)

9.14 cm
(ii)

14.14 cm
(iii)

19.14 cm
(iv)

11.14 cm
(v)

17.14 cm

Question 18

18.

If the length and breadth of a rectangle are 19.00 cm and 17.00 cm respectively, the perimeter of the rectangle =

(i)

75.00 cm
(ii)

72.00 cm
(iii)

77.00 cm
(iv)

67.00 cm
(v)

69.00 cm

Question 19

19.

If the length and breadth of a rectangle are 20.00 cm and 18.00 cm respectively, the area of the rectangle =

(i)

345.00 sq.cm
(ii)

372.00 sq.cm
(iii)

383.00 sq.cm
(iv)

360.00 sq.cm
(v)

344.00 sq.cm

Question 20

20.

If the length and perimeter of a rectangle are 15.00 cm and 48.00 cm respectively, the breadth of the rectangle =

(i)

11.00 cm
(ii)

8.00 cm
(iii)

10.00 cm
(iv)

7.00 cm
(v)

9.00 cm

Question 21

21.

If the length and perimeter of a rectangle are 18.00 cm and 56.00 cm respectively, the area of the rectangle =

(i)

180.00 sq.cm
(ii)

194.00 sq.cm
(iii)

158.00 sq.cm
(iv)

185.00 sq.cm
(v)

177.00 sq.cm

Question 22

22.

If the length and area of a rectangle are 13.00 cm and 65.00 sq.cm respectively, the perimeter of the rectangle =

(i)

36.00 cm
(ii)

39.00 cm
(iii)

41.00 cm
(iv)

31.00 cm
(v)

33.00 cm

Question 23

23.

If the breadth and perimeter of a rectangle are 8.00 cm and 44.00 cm respectively, the area of the rectangle =

(i)

112.00 sq.cm
(ii)

128.00 sq.cm
(iii)

119.00 sq.cm
(iv)

107.00 sq.cm
(v)

84.00 sq.cm

Question 24

24.

In parallelogram PQRS, if base PQ = 20.00 cm and the corresponding height is 14.34 cm, then area of the parallelogram =

(i)

262.80 sq.cm
(ii)

293.80 sq.cm
(iii)

274.80 sq.cm
(iv)

286.80 sq.cm
(v)

301.80 sq.cm

Question 25

25.

In parallelogram PQRS, if base PQ = 13.00 cm and area is 128.18 sq.cm, the corresponding height to the base PQ is

(i)

10.86 cm
(ii)

9.86 cm
(iii)

11.86 cm
(iv)

8.86 cm
(v)

7.86 cm

Question 26

26.

In parallelogram PQRS, if distance between the parallel sides PQ and RS is 9.99 cm and area is 129.87 sq.cm, the base of the parallelogram PQ =

(i)

16.00 cm
(ii)

18.00 cm
(iii)

13.00 cm
(iv)

8.00 cm
(v)

10.00 cm

Question 27

27.

In the given figure, the triangle inside the square is an isosceles triangle. Find the area of the shaded region

(i)

65.50 sq.cm
(ii)

57.50 sq.cm
(iii)

55.50 sq.cm
(iv)

60.50 sq.cm
(v)

63.50 sq.cm

Question 28

28.

In the given figure, find the area of the shaded region

(i)

77.00 sq.cm
(ii)

83.00 sq.cm
(iii)

75.00 sq.cm
(iv)

80.00 sq.cm
(v)

85.00 sq.cm

Question 29

29.

In the given figure, find the area of the shaded region

(i)

190.00 sq.cm
(ii)

221.00 sq.cm
(iii)

192.00 sq.cm
(iv)

207.00 sq.cm
(v)

204.00 sq.cm

Assignment Key