EduSahara™ Worksheet

Question 1

1.

In quadrilateral PQRS, if diagonal QS = 16.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 16.38 cm and 10.68 cm respectively, then height of the vertex R to the diagonal QS is

(i)

7.68 cm
(ii)

15.68 cm
(iii)

13.68 cm
(iv)

5.68 cm
(v)

10.68 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 11.00 cm and 10.78 cm respectively, then area of the quadrilateral =

(i)

152.46 sq.cm
(ii)

135.46 sq.cm
(iii)

156.46 sq.cm
(iv)

147.46 sq.cm
(v)

174.46 sq.cm

Question 3

3.

In quadrilateral PQRS, if diagonal QS = 18.00 cm, height of vertex P to the diagonal QS is 10.11 cm and area is 170.55 sq.cm, then height of the vertex R to the diagonal QS is

(i)

9.84 cm
(ii)

8.84 cm
(iii)

7.84 cm
(iv)

6.84 cm
(v)

10.84 cm

Question 4

4.

In quadrilateral PQRS, if area is 199.58 sq.cm, height of vertex P to the diagonal QS is 11.91 cm, and height of vertex R to the diagonal QS is 14.70 cm, then diagonal QS =

(i)

12.00 cm
(ii)

20.00 cm
(iii)

10.00 cm
(iv)

18.00 cm
(v)

15.00 cm

Question 5

5.

In trapezium ABCD, if distance between the parallel sides is 9.77 cm and lengths of the parallel sides AB = 17.00 cm and CD = 8.00 cm, then area of the trapezium =

(i)

104.12 sq.cm
(ii)

122.12 sq.cm
(iii)

129.12 sq.cm
(iv)

135.12 sq.cm
(v)

108.12 sq.cm

Question 6

6.

In trapezium ABCD, if area is 89.88 sq.cm and lengths of the parallel sides are AB = 16.00 cm and CD = 8.00 cm, then distance between the parallel sides AB and CD =

(i)

5.49 cm
(ii)

9.49 cm
(iii)

6.49 cm
(iv)

7.49 cm
(v)

8.49 cm

Question 7

7.

In trapezium ABCD, if one of the parallel sides AB = 15.00 cm and distance between parallel sides AB and CD is 9.98 cm and area is 104.79 sq.cm, then parallel side CD =

(i)

7.00 cm
(ii)

5.00 cm
(iii)

8.00 cm
(iv)

6.00 cm
(v)

4.00 cm

Question 8

8.

In rhombus PQRS, if diagonals QS = 10.00 cm and PR = 24.00 cm, the area of the rhombus =

(i)

146.00 sq.cm
(ii)

120.00 sq.cm
(iii)

118.00 sq.cm
(iv)

97.00 sq.cm
(v)

137.00 sq.cm

Question 9

9.

In rhombus PQRS, if one of the diagonals QS = 10.00 cm and area is 120.00 sq.cm, the diagonal PR =

(i)

24.00 cm
(ii)

29.00 cm
(iii)

27.00 cm
(iv)

19.00 cm
(v)

21.00 cm

Question 10

10.

If the side of a square is 19.00 cm, the perimeter of the square =

(i)

76.00 cm
(ii)

79.00 cm
(iii)

81.00 cm
(iv)

71.00 cm
(v)

73.00 cm

Question 11

11.

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

(i)

132.00 sq.cm
(ii)

161.00 sq.cm
(iii)

147.00 sq.cm
(iv)

144.00 sq.cm
(v)

116.00 sq.cm

Question 12

12.

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

(i)

16.21 cm
(ii)

24.21 cm
(iii)

26.21 cm
(iv)

21.21 cm
(v)

18.21 cm

Question 13

13.

If the perimeter of a square is 72.00 cm, the side of the square =

(i)

21.00 cm
(ii)

18.00 cm
(iii)

13.00 cm
(iv)

23.00 cm
(v)

15.00 cm

Question 14

14.

If the perimeter of a square is 68.00 cm, the area of the square =

(i)

312.00 sq.cm
(ii)

272.00 sq.cm
(iii)

294.00 sq.cm
(iv)

273.00 sq.cm
(v)

289.00 sq.cm

Question 15

15.

If the area of a square is 289.00 sq.cm, the side of the square =

(i)

22.00 cm
(ii)

20.00 cm
(iii)

14.00 cm
(iv)

12.00 cm
(v)

17.00 cm

Question 16

16.

If the area of a square is 121.00 sq.cm, the perimeter of the square =

(i)

41.00 cm
(ii)

39.00 cm
(iii)

47.00 cm
(iv)

44.00 cm
(v)

49.00 cm

Question 17

17.

If the area of a square is 169.00 sq.cm, the length of the diagonal of the square =

(i)

18.38 cm
(ii)

15.38 cm
(iii)

13.38 cm
(iv)

23.38 cm
(v)

21.38 cm

Question 18

18.

If the length and breadth of a rectangle are 20.00 cm and 19.00 cm respectively, the perimeter of the rectangle =

(i)

78.00 cm
(ii)

73.00 cm
(iii)

81.00 cm
(iv)

75.00 cm
(v)

83.00 cm

Question 19

19.

If the length and breadth of a rectangle are 20.00 cm and 19.00 cm respectively, the area of the rectangle =

(i)

366.00 sq.cm
(ii)

377.00 sq.cm
(iii)

402.00 sq.cm
(iv)

380.00 sq.cm
(v)

387.00 sq.cm

Question 20

20.

If the length and perimeter of a rectangle are 9.00 cm and 30.00 cm respectively, the breadth of the rectangle =

(i)

5.00 cm
(ii)

7.00 cm
(iii)

4.00 cm
(iv)

6.00 cm
(v)

8.00 cm

Question 21

21.

If the length and perimeter of a rectangle are 10.00 cm and 34.00 cm respectively, the area of the rectangle =

(i)

65.00 sq.cm
(ii)

67.00 sq.cm
(iii)

73.00 sq.cm
(iv)

75.00 sq.cm
(v)

70.00 sq.cm

Question 22

22.

If the length and area of a rectangle are 19.00 cm and 285.00 sq.cm respectively, the perimeter of the rectangle =

(i)

68.00 cm
(ii)

73.00 cm
(iii)

65.00 cm
(iv)

63.00 cm
(v)

71.00 cm

Question 23

23.

If the breadth and perimeter of a rectangle are 8.00 cm and 34.00 cm respectively, the area of the rectangle =

(i)

77.00 sq.cm
(ii)

75.00 sq.cm
(iii)

67.00 sq.cm
(iv)

72.00 sq.cm
(v)

69.00 sq.cm

Question 24

24.

In parallelogram PQRS, if base PQ = 16.00 cm and the corresponding height is 13.71 cm, then area of the parallelogram =

(i)

232.36 sq.cm
(ii)

219.36 sq.cm
(iii)

204.36 sq.cm
(iv)

223.36 sq.cm
(v)

211.36 sq.cm

Question 25

25.

In parallelogram PQRS, if base PQ = 16.00 cm and area is 170.40 sq.cm, the corresponding height to the base PQ is

(i)

13.65 cm
(ii)

7.65 cm
(iii)

15.65 cm
(iv)

10.65 cm
(v)

5.65 cm

Question 26

26.

In parallelogram PQRS, if distance between the parallel sides PQ and RS is 16.73 cm and area is 200.76 sq.cm, the base of the parallelogram PQ =

(i)

15.00 cm
(ii)

17.00 cm
(iii)

12.00 cm
(iv)

9.00 cm
(v)

7.00 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)

131.50 sq.cm
(ii)

162.50 sq.cm
(iii)

128.50 sq.cm
(iv)

169.50 sq.cm
(v)

144.50 sq.cm

Question 28

28.

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

(i)

85.00 sq.cm
(ii)

90.00 sq.cm
(iii)

95.00 sq.cm
(iv)

87.00 sq.cm
(v)

93.00 sq.cm

Question 29

29.

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

(i)

125.00 sq.cm
(ii)

132.00 sq.cm
(iii)

158.00 sq.cm
(iv)

150.00 sq.cm
(v)

163.00 sq.cm

Assignment Key