EduSahara™ Worksheet

Question 1

1.

In quadrilateral PQRS, if diagonal QS = 12.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 19.08 cm and 9.50 cm respectively, then height of the vertex R to the diagonal QS is

(i)

8.50 cm
(ii)

7.50 cm
(iii)

9.50 cm
(iv)

10.50 cm
(v)

11.50 cm

Question 2

2.

In quadrilateral PQRS, if diagonal QS = 20.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 6.50 cm and 16.72 cm respectively, then area of the quadrilateral =

(i)

232.20 sq.cm
(ii)

237.20 sq.cm
(iii)

245.20 sq.cm
(iv)

225.20 sq.cm
(v)

218.20 sq.cm

Question 3

3.

In quadrilateral PQRS, if diagonal QS = 13.00 cm, height of vertex P to the diagonal QS is 9.60 cm and area is 142.03 sq.cm, then height of the vertex R to the diagonal QS is

(i)

9.25 cm
(ii)

15.25 cm
(iii)

17.25 cm
(iv)

12.25 cm
(v)

7.25 cm

Question 4

4.

In quadrilateral PQRS, if area is 177.10 sq.cm, height of vertex P to the diagonal QS is 11.51 cm, and height of vertex R to the diagonal QS is 13.79 cm, then diagonal QS =

(i)

19.00 cm
(ii)

14.00 cm
(iii)

9.00 cm
(iv)

17.00 cm
(v)

11.00 cm

Question 5

5.

In trapezium ABCD, if distance between the parallel sides is 8.11 cm and lengths of the parallel sides AB = 19.00 cm and CD = 7.00 cm, then area of the trapezium =

(i)

117.43 sq.cm
(ii)

100.43 sq.cm
(iii)

111.43 sq.cm
(iv)

105.43 sq.cm
(v)

91.43 sq.cm

Question 6

6.

In trapezium ABCD, if area is 176.06 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)

15.67 cm
(ii)

13.67 cm
(iii)

5.67 cm
(iv)

10.67 cm
(v)

7.67 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 5.40 cm and area is 64.80 sq.cm, then parallel side CD =

(i)

8.00 cm
(ii)

6.00 cm
(iii)

7.00 cm
(iv)

5.00 cm
(v)

4.00 cm

Question 8

8.

In parallelogram PQRS, if base PQ = 13.00 cm and the corresponding height is 14.76 cm, then area of the parallelogram =

(i)

195.88 sq.cm
(ii)

186.88 sq.cm
(iii)

168.88 sq.cm
(iv)

191.88 sq.cm
(v)

219.88 sq.cm

Question 9

9.

In parallelogram PQRS, if base PQ = 20.00 cm and area is 181.20 sq.cm, the corresponding height to the base PQ is

(i)

8.06 cm
(ii)

7.06 cm
(iii)

10.06 cm
(iv)

9.06 cm
(v)

11.06 cm

Question 10

10.

In parallelogram PQRS, if distance between the parallel sides PQ and RS is 11.94 cm and area is 191.04 sq.cm, the base of the parallelogram PQ =

(i)

16.00 cm
(ii)

19.00 cm
(iii)

11.00 cm
(iv)

13.00 cm
(v)

21.00 cm

Question 11

11.

In rhombus PQRS, if diagonals QS = 12.00 cm and PR = 27.50 cm, the area of the rhombus =

(i)

171.00 sq.cm
(ii)

148.00 sq.cm
(iii)

191.00 sq.cm
(iv)

153.00 sq.cm
(v)

165.00 sq.cm

Question 12

12.

In rhombus PQRS, if one of the diagonals QS = 18.00 cm and area is 259.56 sq.cm, the diagonal PR =

(i)

23.84 cm
(ii)

33.84 cm
(iii)

28.84 cm
(iv)

31.84 cm
(v)

25.84 cm

Question 13

13.

In quadrilateral PQRS, if diagonal QS = 19.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 17.01 cm and 9.76 cm respectively, then height of the vertex R to the diagonal QS is

(i)

8.76 cm
(ii)

9.76 cm
(iii)

10.76 cm
(iv)

7.76 cm
(v)

11.76 cm

Question 14

14.

In quadrilateral PQRS, if diagonal QS = 11.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 16.54 cm and 16.85 cm respectively, then area of the quadrilateral =

(i)

160.64 sq.cm
(ii)

209.64 sq.cm
(iii)

180.64 sq.cm
(iv)

191.64 sq.cm
(v)

183.64 sq.cm

Question 15

15.

In quadrilateral PQRS, if diagonal QS = 16.00 cm, height of vertex P to the diagonal QS is 11.12 cm and area is 191.76 sq.cm, then height of the vertex R to the diagonal QS is

(i)

17.85 cm
(ii)

7.85 cm
(iii)

15.85 cm
(iv)

9.85 cm
(v)

12.85 cm

Question 16

16.

In quadrilateral PQRS, if area is 128.93 sq.cm, height of vertex P to the diagonal QS is 6.61 cm, and height of vertex R to the diagonal QS is 10.58 cm, then diagonal QS =

(i)

20.00 cm
(ii)

18.00 cm
(iii)

15.00 cm
(iv)

12.00 cm
(v)

10.00 cm

Question 17

17.

In trapezium ABCD, if distance between the parallel sides is 8.76 cm and lengths of the parallel sides AB = 17.00 cm and CD = 10.00 cm, then area of the trapezium =

(i)

118.26 sq.cm
(ii)

135.26 sq.cm
(iii)

104.26 sq.cm
(iv)

100.26 sq.cm
(v)

143.26 sq.cm

Question 18

18.

In trapezium ABCD, if area is 175.65 sq.cm and lengths of the parallel sides are AB = 20.00 cm and CD = 10.00 cm, then distance between the parallel sides AB and CD =

(i)

14.71 cm
(ii)

11.71 cm
(iii)

8.71 cm
(iv)

16.71 cm
(v)

6.71 cm

Question 19

19.

In trapezium ABCD, if one of the parallel sides AB = 19.00 cm and distance between parallel sides AB and CD is 8.11 cm and area is 105.43 sq.cm, then parallel side CD =

(i)

9.00 cm
(ii)

6.00 cm
(iii)

5.00 cm
(iv)

7.00 cm
(v)

8.00 cm

Question 20

20.

In parallelogram PQRS, if base PQ = 20.00 cm and the corresponding height is 9.06 cm, then area of the parallelogram =

(i)

194.20 sq.cm
(ii)

156.20 sq.cm
(iii)

167.20 sq.cm
(iv)

181.20 sq.cm
(v)

199.20 sq.cm

Question 21

21.

In parallelogram PQRS, if base PQ = 16.00 cm and area is 273.60 sq.cm, the corresponding height to the base PQ is

(i)

17.10 cm
(ii)

12.10 cm
(iii)

22.10 cm
(iv)

14.10 cm
(v)

20.10 cm

Question 22

22.

In parallelogram PQRS, if distance between the parallel sides PQ and RS is 13.48 cm and area is 148.28 sq.cm, the base of the parallelogram PQ =

(i)

6.00 cm
(ii)

8.00 cm
(iii)

16.00 cm
(iv)

14.00 cm
(v)

11.00 cm

Question 23

23.

In rhombus PQRS, if diagonals QS = 15.00 cm and PR = 13.23 cm, the area of the rhombus =

(i)

99.23 sq.cm
(ii)

94.23 sq.cm
(iii)

104.23 sq.cm
(iv)

102.23 sq.cm
(v)

96.23 sq.cm

Question 24

24.

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

(i)

30.20 cm
(ii)

32.20 cm
(iii)

40.20 cm
(iv)

38.20 cm
(v)

35.20 cm

Assignment Key