EduSahara™ Worksheet

Question 1

1.

Find the area of the shaded region given below

(i)

510.00 sq.m
(ii)

490.00 sq.m
(iii)

504.00 sq.m
(iv)

521.00 sq.m
(v)

492.00 sq.m

Question 2

2.

If the outer side of a square path is 7.00 cm and area of the square path is 24.00 sq.cm, the area of the inner square =

(i)

20.00 sq.cm
(ii)

25.00 sq.cm
(iii)

28.00 sq.cm
(iv)

22.00 sq.cm
(v)

30.00 sq.cm

Question 3

3.

If the inner length, outer breadth and area of the inner rectangle of a rectangular path are 6.00 cm, 7.00 cm and 30.00 sq.cm respectively, the area of the rectangular path =

(i)

23.00 sq.cm
(ii)

21.00 sq.cm
(iii)

31.00 sq.cm
(iv)

29.00 sq.cm
(v)

26.00 sq.cm

Question 4

4.

If the areas of inner and outer squares of a square path are 81.00 sq.cm and 100.00 sq.cm respectively, the area of the square path =

(i)

16.00 sq.cm
(ii)

19.00 sq.cm
(iii)

14.00 sq.cm
(iv)

24.00 sq.cm
(v)

22.00 sq.cm

Question 5

5.

If the outer length, outer breadth and width of a rectangular path are 15.40 cm, 14.40 cm and 2.70 cm respectively, the area of the rectangular path =

(i)

131.76 sq.cm
(ii)

116.76 sq.cm
(iii)

113.76 sq.cm
(iv)

149.76 sq.cm
(v)

155.76 sq.cm

Question 6

6.

In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 18 cm, then corresponding height of side PQ =

(i)

15.00 cm
(ii)

18.00 cm
(iii)

23.00 cm
(iv)

13.00 cm
(v)

21.00 cm

Question 7

7.

If the inner length, outer breadth and width of a rectangular path are 10.00 cm, 12.80 cm and 2.40 cm respectively, the area of the rectangular path =

(i)

131.44 sq.cm
(ii)

124.44 sq.cm
(iii)

95.44 sq.cm
(iv)

109.44 sq.cm
(v)

92.44 sq.cm

Question 8

8.

Find the area of the shaded region

(i)

508.00 sq.cm
(ii)

510.00 sq.cm
(iii)

512.00 sq.cm
(iv)

509.00 sq.cm
(v)

511.00 sq.cm

Question 9

9.

Find the area of the shaded region given below

(i)

551.00 sq.m
(ii)

519.00 sq.m
(iii)

528.00 sq.m
(iv)

526.00 sq.m
(v)

510.00 sq.m

Question 10

10.

If area of an equilateral triangle is 43.3 sq.cm, the height of the equilateral triangle =

(i)

9.66 cm
(ii)

10.66 cm
(iii)

6.66 cm
(iv)

7.66 cm
(v)

8.66 cm

Question 11

11.

If the breadth and area of a rectangle are 6.00 cm and 102.00 sq.cm respectively, the length of the rectangle =

(i)

12.00 cm
(ii)

22.00 cm
(iii)

14.00 cm
(iv)

20.00 cm
(v)

17.00 cm

Question 12

12.

In the given figure, DEFG is a rectangle in which DE = 14 cm and GD = 23 cm.

Also, △SDE and △TFG are the right angled triangles in which ∠ESD = ∠GTF = 90°, SD = 11 cm and TF = 7 cm.

Find the area of the shaded region

(i)

231.93 sq.cm
(ii)

230.93 sq.cm
(iii)

233.93 sq.cm
(iv)

232.93 sq.cm
(v)

229.93 sq.cm

Question 13

13.

Find the area of shaded region in the adjoining figure, given that CD = 12 cm, DE = 26 cm, CF = 12 cm and ∠FCD = ∠CDE = 90°.

(i)

226.00 sq.cm
(ii)

228.00 sq.cm
(iii)

230.00 sq.cm
(iv)

229.00 sq.cm
(v)

227.00 sq.cm

Question 14

14.

In a right angled triangle △PQR, if QR = 11 cm, PQ = 14 cm are the lengths of perpendicular sides , then corresponding height of side QR =

(i)

11.00 cm
(ii)

14.00 cm
(iii)

17.00 cm
(iv)

9.00 cm
(v)

19.00 cm

Question 15

15.

In an isosceles right angled triangle △PQR, if area = 72 sq.cm, then corresponding height of side QR =

(i)

17.00 cm
(ii)

7.00 cm
(iii)

15.00 cm
(iv)

12.00 cm
(v)

9.00 cm

Question 16

16.

Consider the following triangles. Which two triangles have the same area?

(i)

△DEF and △GHI
(ii)

△GHI and △JKL
(iii)

△DEF and △JKL
(iv)

△GHI and △MNO
(v)

△DEF and △MNO

Question 17

17.

If the width of a square path is 0.50 cm and outer side is 10.00 cm, the inner side of the square path =

(i)

7.00 cm
(ii)

9.00 cm
(iii)

11.00 cm
(iv)

10.00 cm
(v)

8.00 cm

Question 18

18.

In an isosceles right angled triangle △PQR, if area = 180.5 sq.cm, then side QR =

(i)

24.00 cm
(ii)

19.00 cm
(iii)

16.00 cm
(iv)

22.00 cm
(v)

14.00 cm

Question 19

19.

In △PQR, if base QR = 19 cm and the corresponding height of side QR = 15.68 cm, then area of the triangle =

(i)

161.92 sq.cm
(ii)

148.92 sq.cm
(iii)

136.92 sq.cm
(iv)

162.92 sq.cm

Question 20

20.

In an isosceles right angled triangle △PQR, if QR = 20 cm is one of the equal sides, then area of the triangle =

(i)

188.00 sq.cm
(ii)

208.00 sq.cm
(iii)

200.00 sq.cm
(iv)

215.00 sq.cm
(v)

197.00 sq.cm

Question 21

21.

In an isosceles triangle △ABC, the corresponding height of the side BC is 8.87 cm and area is 84.3 sq.cm, then side BC =

(i)

16.00 cm
(ii)

19.00 cm
(iii)

24.00 cm
(iv)

14.00 cm
(v)

22.00 cm

Question 22

22.

If the outer length, inner breadth and area of the inner rectangle of a rectangular path are 13.60 cm, 9.00 cm and 90.00 sq.cm respectively, the width of the rectangular path =

(i)

0.80 cm
(ii)

2.80 cm
(iii)

3.80 cm
(iv)

1.80 cm
(v)

9.80 cm

Question 23

23.

If diameter of the circle is 18.00 cm, the circumference of the circle is

(i)

61.57 cm
(ii)

56.57 cm
(iii)

51.57 cm
(iv)

59.57 cm
(v)

53.57 cm

Question 24

24.

Find the area of the shaded region given below

(i)

324.00 sq.m
(ii)

347.00 sq.m
(iii)

363.00 sq.m
(iv)

326.00 sq.m
(v)

339.00 sq.m

Question 25

25.

If the inner side of a square path is 6.00 cm and area of the square path is 45.00 sq.cm, the width of the square path =

(i)

2.50 cm
(ii)

3.50 cm
(iii)

1.50 cm
(iv)

9.50 cm
(v)

0.50 cm

Assignment Key