EduSahara™ Worksheet

Question 1

1.

If the width of a square path is 0.50 cm and inner side is 8.00 cm, the outer side of the square path =

(i)

7.00 cm
(ii)

8.00 cm
(iii)

10.00 cm
(iv)

9.00 cm
(v)

11.00 cm

Question 2

2.

If the length and perimeter of a rectangle are 13.00 cm and 44.00 cm respectively, the area of the rectangle =

(i)

101.00 sq.cm
(ii)

117.00 sq.cm
(iii)

132.00 sq.cm
(iv)

130.00 sq.cm
(v)

109.00 sq.cm

Question 3

3.

If the perimeter and area of a rectangle are 76.00 cm and 360.00 sq.cm respectively, the length of the rectangle =

(i)

15.00 cm
(ii)

20.00 cm
(iii)

25.00 cm
(iv)

17.00 cm
(v)

23.00 cm

Question 4

4.

If the inner length, outer breadth and area of the inner rectangle of a rectangular path are 9.00 cm, 12.00 cm and 54.00 sq.cm respectively, the area of the rectangular path =

(i)

113.00 sq.cm
(ii)

138.00 sq.cm
(iii)

101.00 sq.cm
(iv)

142.00 sq.cm
(v)

126.00 sq.cm

Question 5

5.

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

(i)

142.00 sq.cm
(ii)

144.00 sq.cm
(iii)

149.00 sq.cm
(iv)

162.00 sq.cm
(v)

130.00 sq.cm

Question 6

6.

In a right angled triangle △PQR, if the area is 110.5 sq.cm and corresponding height of side QR = 13 cm, then side PQ =

(i)

8.00 cm
(ii)

16.00 cm
(iii)

10.00 cm
(iv)

18.00 cm
(v)

13.00 cm

Question 7

7.

In parallelogram PQRS, if base PQ = 11.00 cm and area is 108.57 sq.cm, the corresponding height to the base PQ is

(i)

9.87 cm
(ii)

10.87 cm
(iii)

7.87 cm
(iv)

11.87 cm
(v)

8.87 cm

Question 8

8.

If the areas of inner and outer squares of a square path are 64.00 sq.cm and 81.00 sq.cm respectively, the area of the square path =

(i)

20.00 sq.cm
(ii)

17.00 sq.cm
(iii)

14.00 sq.cm
(iv)

22.00 sq.cm
(v)

12.00 sq.cm

Question 9

9.

In a right angled triangle △PQR, if QR = 12 cm, PQ = 11 cm are the lengths of perpendicular sides , then corresponding height of side PQ =

(i)

12.00 cm
(ii)

9.00 cm
(iii)

7.00 cm
(iv)

15.00 cm
(v)

17.00 cm

Question 10

10.

In a right angled triangle △PQR, if the base QR = 11 cm and the corresponding height is 13 cm, then area of the triangle =

(i)

68.50 sq.cm
(ii)

76.50 sq.cm
(iii)

66.50 sq.cm
(iv)

71.50 sq.cm
(v)

74.50 sq.cm

Question 11

11.

If height of an equilateral triangle is 14.72 cm, the area of the equilateral triangle =

(i)

139.14 sq.cm
(ii)

108.14 sq.cm
(iii)

125.14 sq.cm
(iv)

111.14 sq.cm
(v)

140.14 sq.cm

Question 12

12.

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

(i)

ABCD and EFGH
(ii)

MNOP and QRST
(iii)

ABCD and QRST
(iv)

EFGH and QRST
(v)

EFGH and MNOP

Question 13

13.

In a right angled triangle △PQR, if the area is 90 sq.cm and base QR = 12 cm, then side PQ =

(i)

20.00 cm
(ii)

10.00 cm
(iii)

12.00 cm
(iv)

18.00 cm
(v)

15.00 cm

Question 14

14.

Find the perimeter of the shaded region given below

(i)

126.00 m
(ii)

149.00 m
(iii)

138.00 m
(iv)

142.00 m
(v)

155.00 m

Question 15

15.

If the inner length, outer breadth and width of a rectangular path are 10.00 cm, 16.20 cm and 3.60 cm respectively, the area of the outer rectangle of the rectangular path =

(i)

256.64 sq.cm
(ii)

276.64 sq.cm
(iii)

284.64 sq.cm
(iv)

278.64 sq.cm
(v)

291.64 sq.cm

Question 16

16.

If the inner length, outer breadth and area of the outer rectangle of a rectangular path are 10.00 cm, 12.60 cm and 171.36 sq.cm respectively, the width of the rectangular path =

(i)

1.80 cm
(ii)

3.80 cm
(iii)

2.80 cm
(iv)

0.80 cm
(v)

9.80 cm

Question 17

17.

If the area of a square is 225.00 sq.cm, the side of the square =

(i)

20.00 cm
(ii)

15.00 cm
(iii)

12.00 cm
(iv)

18.00 cm
(v)

10.00 cm

Question 18

18.

If the inner length, inner breadth, outer length and outer breadth of a rectangular path are 10.00 cm, 5.00 cm, 14.00 cm and 9.00 cm respectively, the width of the rectangular path =

(i)

2.00 cm
(ii)

3.00 cm
(iii)

0.00 cm
(iv)

4.00 cm
(v)

1.00 cm

Question 19

19.

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

(i)

101.00 sq.cm
(ii)

134.00 sq.cm
(iii)

128.00 sq.cm
(iv)

115.00 sq.cm
(v)

156.00 sq.cm

Question 20

20.

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

(i)

16.00 sq.cm
(ii)

19.00 sq.cm
(iii)

22.00 sq.cm
(iv)

24.00 sq.cm
(v)

14.00 sq.cm

Question 21

21.

If the side of an equilateral triangle is 13 cm, the height of the equilateral triangle =

(i)

11.26 cm
(ii)

8.26 cm
(iii)

14.26 cm
(iv)

6.26 cm
(v)

16.26 cm

Question 22

22.

If the inner side of a square path is 9.00 cm and area of the square path is 19.00 sq.cm, the width of the square path =

(i)

2.50 cm
(ii)

8.50 cm
(iii)

0.50 cm
(iv)

7.50 cm
(v)

1.50 cm

Question 23

23.

In a right angled triangle △PQR, if QR = 17 cm, PQ = 16 cm are the lengths of perpendicular sides , then corresponding height of side QR =

(i)

11.00 cm
(ii)

21.00 cm
(iii)

16.00 cm
(iv)

19.00 cm
(v)

13.00 cm

Question 24

24.

In △PQR, if base QR = 18 cm and area of the triangle = 133.19 sq.cm, then corresponding height of side QR =

(i)

14.80 cm
(ii)

19.80 cm
(iii)

17.80 cm
(iv)

11.80 cm
(v)

9.80 cm

Question 25

25.

If the breadth and area of a rectangle are 5.00 cm and 55.00 sq.cm respectively, the length of the rectangle =

(i)

8.00 cm
(ii)

16.00 cm
(iii)

14.00 cm
(iv)

6.00 cm
(v)

11.00 cm

Assignment Key