EduSahara™ Worksheet

Question 1

1.

A floral design on a floor is made up of 14 triangular shaped tiles. The sides of each tile are 29 cm, 23 cm and 15 cm. If the cost of polishing the tiles is ₹3.00 per sq cm, find the total cost to polishing all the tiles.

(i)

₹7317.18
(ii)

₹7057.18
(iii)

₹7187.18
(iv)

₹7437.18
(v)

₹7167.18

Question 2

2.

In △PQR, if QR = 17 cm, RP = 15 cm and the corresponding height of side QR = 13.46 cm, then corresponding height of side PQ =

(i)

18.46 cm
(ii)

8.46 cm
(iii)

13.46 cm
(iv)

10.46 cm
(v)

16.46 cm

Question 3

3.

In △PQR, if QR = 10 cm, RP = 16 cm and the corresponding height of side QR = 11.98 cm, then corresponding height of side RP =

(i)

5.49 cm
(ii)

7.49 cm
(iii)

6.49 cm
(iv)

9.49 cm
(v)

8.49 cm

Question 4

4.

In an isosceles triangle △ABC, if base BC = 13 cm and area is 65.57 sq.cm, then corresponding height of side AB =

(i)

5.93 cm
(ii)

10.93 cm
(iii)

15.93 cm
(iv)

13.93 cm
(v)

7.93 cm

Question 5

5.

In △PQR, if QR = 16 cm, RP = 19 cm and the corresponding height of side QR = 17.75 cm, then perimeter of the triangle =

(i)

50.00 cm
(ii)

55.00 cm
(iii)

60.00 cm
(iv)

52.00 cm
(v)

58.00 cm

Question 6

6.

In an isosceles triangle △ABC, if BC = 19 cm, AB = CA = 12 cm, then corresponding height of side AB =

(i)

8.61 cm
(ii)

11.61 cm
(iii)

16.61 cm
(iv)

14.61 cm
(v)

6.61 cm

Question 7

7.

In an isosceles triangle △ABC, if BC = 14 cm, CA = AB and perimeter is 36 cm, then corresponding height of side BC =

(i)

7.49 cm
(ii)

10.49 cm
(iii)

6.49 cm
(iv)

8.49 cm
(v)

9.49 cm

Question 8

8.

The sides of a triangular plot are in the ratio
7

:

19

:

19

and perimeter is
450 m
. Find its area

(i)

6686.20 sq.m
(ii)

6536.20 sq.m
(iii)

6406.20 sq.m
(iv)

6376.20 sq.m
(v)

6666.20 sq.m

Question 9

9.

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 AB =

(i)

10.00 cm
(ii)

18.00 cm
(iii)

13.00 cm
(iv)

16.00 cm
(v)

8.00 cm

Question 10

10.

In an isosceles triangle △ABC, if base BC = 19 cm and the corresponding height is 10.28 cm, then area of the triangle =

(i)

102.69 sq.cm
(ii)

97.69 sq.cm
(iii)

94.69 sq.cm
(iv)

92.69 sq.cm
(v)

100.69 sq.cm

Question 11

11.

In an isosceles triangle △ABC, if base BC = 20 cm and the corresponding height is 4.58 cm, then side AB =

(i)

14.00 cm
(ii)

16.00 cm
(iii)

8.00 cm
(iv)

6.00 cm
(v)

11.00 cm

Question 12

12.

A rhombus shaped field has green grass for 11 cows to graze. If the perimeter of the field is 640.00 m and one of the diagonals is 200 m, how much area of the grass field will each cow be grazing?

(i)

2020.91 sq.m
(ii)

2090.91 sq.m
(iii)

2400.91 sq.m
(iv)

2270.91 sq.m
(v)

2340.91 sq.m

Question 13

13.

In an isosceles triangle △ABC, if base BC = 12 cm and area is 108.17 sq.cm, then corresponding height of side BC =

(i)

23.03 cm
(ii)

18.03 cm
(iii)

13.03 cm
(iv)

15.03 cm
(v)

21.03 cm

Question 14

14.

In an isosceles triangle △ABC, the corresponding height of the side BC is 10.95 cm and area is 76.68 sq.cm, then corresponding height of side AB =

(i)

11.80 cm
(ii)

8.80 cm
(iii)

16.80 cm
(iv)

14.80 cm
(v)

6.80 cm

Question 15

15.

In △PQR, if QR = 17 cm, RP = 20 cm and the corresponding height of side QR = 16.17 cm, then area of the triangle =

(i)

160.48 sq.cm
(ii)

137.48 sq.cm
(iii)

131.48 sq.cm
(iv)

109.48 sq.cm
(v)

142.48 sq.cm

Question 16

16.

A field is in the shape of a trapezium whose parallel sides are 44 m and 18 m. The non parallel sides are 29 m and 25 m. Find the area of the field.

(i)

708.86 sq.m
(ii)

752.86 sq.m
(iii)

739.86 sq.m
(iv)

724.86 sq.m
(v)

697.86 sq.m

Question 17

17.

In △PQR, if QR = 14 cm, RP = 14 cm, PQ = 10 cm, then corresponding height of side QR =

(i)

10.34 cm
(ii)

8.34 cm
(iii)

9.34 cm
(iv)

7.34 cm
(v)

11.34 cm

Question 18

18.

In an isosceles triangle △ABC, if base BC = 11 cm and the corresponding height is 10.67 cm, then corresponding height of side AB =

(i)

10.78 cm
(ii)

7.78 cm
(iii)

11.78 cm
(iv)

9.78 cm
(v)

8.78 cm

Question 19

19.

In an isosceles triangle △ABC, the corresponding height of the side BC is 7.33 cm and area is 69.65 sq.cm, then side CA =

(i)

7.00 cm
(ii)

9.00 cm
(iii)

12.00 cm
(iv)

17.00 cm
(v)

15.00 cm

Question 20

20.

In an isosceles triangle △ABC, if BC = 11 cm, AB = CA = 13 cm, then area of the triangle =

(i)

64.79 sq.cm
(ii)

69.79 sq.cm
(iii)

59.79 sq.cm
(iv)

67.79 sq.cm
(v)

61.79 sq.cm

Question 21

21.

A triangle and a parallelogram, both have the same base and the same area. If the sides of the triangle are 24 cm, 23 cm and 13 cm, and the parallelogram stands on the base 23 cm, find the height of the parallelogram

(i)

7.36 cm
(ii)

8.36 cm
(iii)

5.36 cm
(iv)

6.36 cm
(v)

4.36 cm

Question 22

22.

In an isosceles triangle △ABC, if BC = 19 cm, CA = AB and perimeter is 55 cm, then area of the triangle =

(i)

163.24 sq.cm
(ii)

130.24 sq.cm
(iii)

148.24 sq.cm
(iv)

145.24 sq.cm
(v)

143.24 sq.cm

Question 23

23.

In △PQR, if QR = 12 cm, RP = 17 cm and perimeter = 45 cm, then corresponding height of side QR =

(i)

20.32 cm
(ii)

10.32 cm
(iii)

12.32 cm
(iv)

18.32 cm
(v)

15.32 cm

Question 24

24.

A traffic sign board is in the shape of an equilateral triangle . If its perimeter is 60 cm, what is its area ?

(i)

173.21 sq.cm
(ii)

190.21 sq.cm
(iii)

157.21 sq.cm
(iv)

191.21 sq.cm
(v)

149.21 sq.cm

Question 25

25.

In an isosceles triangle △ABC, if BC = 10 cm, AB = CA = 18 cm, then corresponding height of side BC =

(i)

22.29 cm
(ii)

17.29 cm
(iii)

12.29 cm
(iv)

14.29 cm
(v)

20.29 cm

Assignment Key