EduSahara™ Worksheet

Question 1

1.

In quadrilateral PQRS, if diagonal QS = 13.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 16.85 cm and 15.97 cm respectively, then height of the vertex R to the diagonal QS is

(i)

12.97 cm
(ii)

18.97 cm
(iii)

20.97 cm
(iv)

15.97 cm
(v)

10.97 cm

Question 2

2.

In quadrilateral PQRS, if diagonal QS = 18.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 5.40 cm and 7.15 cm respectively, then area of the quadrilateral =

(i)

116.95 sq.cm
(ii)

112.95 sq.cm
(iii)

128.95 sq.cm
(iv)

90.95 sq.cm
(v)

99.95 sq.cm

Question 3

3.

In quadrilateral PQRS, if diagonal QS = 15.00 cm, height of vertex P to the diagonal QS is 17.96 cm and area is 214.05 sq.cm, then height of the vertex R to the diagonal QS is

(i)

7.58 cm
(ii)

13.58 cm
(iii)

5.58 cm
(iv)

10.58 cm
(v)

15.58 cm

Question 4

4.

In quadrilateral PQRS, if area is 195.20 sq.cm, height of vertex P to the diagonal QS is 10.17 cm, and height of vertex R to the diagonal QS is 9.35 cm, then diagonal QS =

(i)

23.00 cm
(ii)

17.00 cm
(iii)

25.00 cm
(iv)

20.00 cm
(v)

15.00 cm

Question 5

5.

In trapezium ABCD, if distance between the parallel sides is 9.47 cm and lengths of the parallel sides AB = 19.00 cm and CD = 10.00 cm, then area of the trapezium =

(i)

142.31 sq.cm
(ii)

120.31 sq.cm
(iii)

159.31 sq.cm
(iv)

137.31 sq.cm
(v)

133.31 sq.cm

Question 6

6.

In trapezium ABCD, if area is 196.52 sq.cm and lengths of the parallel sides are AB = 20.00 cm and CD = 13.00 cm, then distance between the parallel sides AB and CD =

(i)

16.91 cm
(ii)

6.91 cm
(iii)

14.91 cm
(iv)

8.91 cm
(v)

11.91 cm

Question 7

7.

In trapezium ABCD, if one of the parallel sides AB = 17.00 cm and distance between parallel sides AB and CD is 11.56 cm and area is 156.06 sq.cm, then parallel side CD =

(i)

5.00 cm
(ii)

15.00 cm
(iii)

13.00 cm
(iv)

7.00 cm
(v)

10.00 cm

Question 8

8.

In rhombus PQRS, if diagonals QS = 17.00 cm and PR = 27.11 cm, the area of the rhombus =

(i)

212.44 sq.cm
(ii)

256.44 sq.cm
(iii)

248.44 sq.cm
(iv)

230.44 sq.cm
(v)

213.44 sq.cm

Question 9

9.

In rhombus PQRS, if one of the diagonals QS = 19.00 cm and area is 334.40 sq.cm, the diagonal PR =

(i)

32.20 cm
(ii)

40.20 cm
(iii)

30.20 cm
(iv)

38.20 cm
(v)

35.20 cm

Question 10

10.

If the side of a square is 12.00 cm, the perimeter of the square =

(i)

53.00 cm
(ii)

48.00 cm
(iii)

45.00 cm
(iv)

51.00 cm
(v)

43.00 cm

Question 11

11.

If the side of a square is 14.00 cm, the area of the square =

(i)

196.00 sq.cm
(ii)

200.00 sq.cm
(iii)

179.00 sq.cm
(iv)

171.00 sq.cm
(v)

213.00 sq.cm

Question 12

12.

If the side of a square is 15.00 cm, the length of the diagonal of the square =

(i)

21.21 cm
(ii)

16.21 cm
(iii)

18.21 cm
(iv)

26.21 cm
(v)

24.21 cm

Question 13

13.

If the perimeter of a square is 64.00 cm, the side of the square =

(i)

16.00 cm
(ii)

11.00 cm
(iii)

13.00 cm
(iv)

21.00 cm
(v)

19.00 cm

Question 14

14.

If the perimeter of a square is 40.00 cm, the area of the square =

(i)

100.00 sq.cm
(ii)

82.00 sq.cm
(iii)

105.00 sq.cm
(iv)

87.00 sq.cm
(v)

127.00 sq.cm

Question 15

15.

If the area of a square is 324.00 sq.cm, the side of the square =

(i)

13.00 cm
(ii)

15.00 cm
(iii)

18.00 cm
(iv)

21.00 cm
(v)

23.00 cm

Question 16

16.

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

(i)

59.00 cm
(ii)

53.00 cm
(iii)

56.00 cm
(iv)

51.00 cm
(v)

61.00 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)

17.14 cm
(iv)

11.14 cm
(v)

19.14 cm

Question 18

18.

If the length and breadth of a rectangle are 7.00 cm and 5.00 cm respectively, the perimeter of the rectangle =

(i)

27.00 cm
(ii)

19.00 cm
(iii)

21.00 cm
(iv)

29.00 cm
(v)

24.00 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)

368.00 sq.cm
(ii)

360.00 sq.cm
(iii)

385.00 sq.cm
(iv)

346.00 sq.cm
(v)

333.00 sq.cm

Question 20

20.

If the length and perimeter of a rectangle are 17.00 cm and 54.00 cm respectively, the breadth of the rectangle =

(i)

15.00 cm
(ii)

13.00 cm
(iii)

7.00 cm
(iv)

5.00 cm
(v)

10.00 cm

Question 21

21.

If the length and perimeter of a rectangle are 14.00 cm and 50.00 cm respectively, the area of the rectangle =

(i)

154.00 sq.cm
(ii)

140.00 sq.cm
(iii)

169.00 sq.cm
(iv)

176.00 sq.cm
(v)

148.00 sq.cm

Question 22

22.

If the length and area of a rectangle are 17.00 cm and 272.00 sq.cm respectively, the perimeter of the rectangle =

(i)

66.00 cm
(ii)

61.00 cm
(iii)

71.00 cm
(iv)

69.00 cm
(v)

63.00 cm

Question 23

23.

If the breadth and perimeter of a rectangle are 14.00 cm and 68.00 cm respectively, the area of the rectangle =

(i)

280.00 sq.cm
(ii)

278.00 sq.cm
(iii)

288.00 sq.cm
(iv)

257.00 sq.cm
(v)

293.00 sq.cm

Question 24

24.

In parallelogram PQRS, if base PQ = 13.00 cm and the corresponding height is 9.46 cm, then area of the parallelogram =

(i)

138.98 sq.cm
(ii)

122.98 sq.cm
(iii)

107.98 sq.cm
(iv)

94.98 sq.cm
(v)

135.98 sq.cm

Question 25

25.

In parallelogram PQRS, if base PQ = 15.00 cm and area is 162.45 sq.cm, the corresponding height to the base PQ is

(i)

7.83 cm
(ii)

10.83 cm
(iii)

5.83 cm
(iv)

13.83 cm
(v)

15.83 cm

Question 26

26.

In parallelogram PQRS, if distance between the parallel sides PQ and RS is 13.29 cm and area is 199.35 sq.cm, the base of the parallelogram PQ =

(i)

10.00 cm
(ii)

12.00 cm
(iii)

20.00 cm
(iv)

18.00 cm
(v)

15.00 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)

87.50 sq.cm
(ii)

79.50 sq.cm
(iii)

84.50 sq.cm
(iv)

89.50 sq.cm
(v)

81.50 sq.cm

Question 28

28.

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

(i)

205.00 sq.cm
(ii)

177.00 sq.cm
(iii)

190.00 sq.cm
(iv)

203.00 sq.cm
(v)

174.00 sq.cm

Question 29

29.

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

(i)

253.50 sq.cm
(ii)

240.50 sq.cm
(iii)

222.50 sq.cm
(iv)

246.50 sq.cm
(v)

236.50 sq.cm

Assignment Key