EduSahara™ Worksheet

EduSahara™ Assignment

Name : Perimeter and Area of Quadrilaterals

Chapter : Perimeter and Area of Plane Figures

Grade : ICSE Grade VIII

License : Non Commercial Use

Question 1

1.

In quadrilateral PQRS, if diagonal QS = 18.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 6.32 cm and 16.73 cm respectively, then height of the vertex R to the diagonal QS is

(i)

16.73 cm
(ii)

11.73 cm
(iii)

19.73 cm
(iv)

13.73 cm
(v)

21.73 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 12.71 cm and 7.42 cm respectively, then area of the quadrilateral =

(i)

201.30 sq.cm
(ii)

215.30 sq.cm
(iii)

184.30 sq.cm
(iv)

183.30 sq.cm

Question 3

3.

In quadrilateral PQRS, if diagonal QS = 12.00 cm, height of vertex P to the diagonal QS is 8.59 cm and area is 147.06 sq.cm, then height of the vertex R to the diagonal QS is

(i)

12.92 cm
(ii)

15.92 cm
(iii)

10.92 cm
(iv)

20.92 cm
(v)

18.92 cm

Question 4

4.

In quadrilateral PQRS, if area is 165.94 sq.cm, height of vertex P to the diagonal QS is 12.61 cm, and height of vertex R to the diagonal QS is 12.92 cm, then diagonal QS =

(i)

8.00 cm
(ii)

13.00 cm
(iii)

16.00 cm
(iv)

18.00 cm
(v)

10.00 cm

Question 5

5.

In trapezium ABCD, if distance between the parallel sides is 10.25 cm and lengths of the parallel sides AB = 20.00 cm and CD = 12.00 cm, then area of the trapezium =

(i)

164.00 sq.cm
(ii)

151.00 sq.cm
(iii)

176.00 sq.cm
(iv)

146.00 sq.cm
(v)

168.00 sq.cm

Question 6

6.

In trapezium ABCD, if area is 183.60 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)

15.24 cm
(ii)

7.24 cm
(iii)

17.24 cm
(iv)

9.24 cm
(v)

12.24 cm

Question 7

7.

In trapezium ABCD, if one of the parallel sides AB = 19.00 cm and distance between parallel sides AB and CD is 9.25 cm and area is 129.50 sq.cm, then parallel side CD =

(i)

7.00 cm
(ii)

11.00 cm
(iii)

8.00 cm
(iv)

10.00 cm
(v)

9.00 cm

Question 8

8.

In parallelogram PQRS, if base PQ = 18.00 cm and the corresponding height is 14.42 cm, then area of the parallelogram =

(i)

259.56 sq.cm
(ii)

241.56 sq.cm
(iii)

283.56 sq.cm
(iv)

254.56 sq.cm
(v)

266.56 sq.cm

Question 9

9.

In parallelogram PQRS, if base PQ = 10.00 cm and area is 140.00 sq.cm, the corresponding height to the base PQ is

(i)

11.00 cm
(ii)

14.00 cm
(iii)

19.00 cm
(iv)

17.00 cm
(v)

9.00 cm

Question 10

10.

In parallelogram PQRS, if distance between the parallel sides PQ and RS is 12.47 cm and area is 224.46 sq.cm, the base of the parallelogram PQ =

(i)

18.00 cm
(ii)

13.00 cm
(iii)

15.00 cm
(iv)

23.00 cm
(v)

21.00 cm

Question 11

11.

In rhombus PQRS, if diagonals QS = 20.00 cm and PR = 24.98 cm, the area of the rhombus =

(i)

249.80 sq.cm
(ii)

261.80 sq.cm
(iii)

255.80 sq.cm
(iv)

245.80 sq.cm
(v)

234.80 sq.cm

Question 12

12.

In rhombus PQRS, if one of the diagonals QS = 19.00 cm and area is 195.41 sq.cm, the diagonal PR =

(i)

23.57 cm
(ii)

25.57 cm
(iii)

15.57 cm
(iv)

17.57 cm
(v)

20.57 cm

Question 13

13.

Find the area of the field shown in the figure. All dimensions are in m

(i)

18375.00 sq.m
(ii)

15875.00 sq.m
(iii)

14675.00 sq.m
(iv)

16175.00 sq.m
(v)

17575.00 sq.m

Question 14

14.

Find the area of the field shown in the figure. All dimensions are in m

(i)

7025.00 sq.m
(ii)

7145.00 sq.m
(iii)

7005.00 sq.m
(iv)

6895.00 sq.m
(v)

7275.00 sq.m

Question 15

15.

Find the area of the field shown in the figure. All dimensions are in m

(i)

10337.50 sq.m
(ii)

11637.50 sq.m
(iii)

11837.50 sq.m
(iv)

14237.50 sq.m
(v)

10937.50 sq.m

Question 16

16.

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

(i)

128.50 sq.cm
(ii)

115.50 sq.cm
(iii)

105.50 sq.cm
(iv)

112.50 sq.cm
(v)

86.50 sq.cm

Question 17

17.

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

(i)

172.00 sq.cm
(ii)

165.00 sq.cm
(iii)

144.00 sq.cm
(iv)

122.00 sq.cm
(v)

150.00 sq.cm

Question 18

18.

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

(i)

238.00 sq.cm
(ii)

262.00 sq.cm
(iii)

263.00 sq.cm
(iv)

231.00 sq.cm
(v)

246.00 sq.cm

Assignment Key