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CBSE Class 9 Mathematics Worksheet

Unit 5-Mensuration - Heron's formula

1.

The perimeter of a triangular ground is 420 m and its sides are in the ratio 6 : 7 : 8. Find the area of the triangular ground.

2.

The area of an equilateral triangle is . Find its perimeter?

3.

A carpenter has cut a board in the shape of trapezium. if the parallel sides of the trapezium are 28 cm and 12 cm and non parallel sides are 14 cm and 14 cm, find the area of the board.

4.

The diagonals of a rhombus are 24 cm and 10 cm. Find its area and perimeter.

5.

Choose the correct option:  The sides of a triangle are 35cm, 54cm, and 61cm, respectively. The length of its longest altitude is _________.

6.

The sides of a triangular field are 41 m, 40 m and 9 m. Find the number of flower beds that can be prepared in the field, if each flower bed needs space.

7.

Choose the correct option:  The sides of a triangle are 11 cm, 13 cm and 20 cm. The altitude to the longest side is _______.

8.

Three metal cubes whose edge measure 3 cm, 4 cm and 5 cm respectively are melted to form a single cube, find its edge.

9.

The perimeter of an equilateral triangle is 60m. The area is

A)

    sq m

B)

 sq.m

C)

 sq.m

D)

 sq.m

10.

Find the cost of leveling a ground in the form of a triangle with sides 16 m, 12 m and 20 m at Rs. 4 per sq. meter.

11.

Find the area of a triangle, two sides of which are 8 cm and 11 cm and the perimeter is 32 cm.

12.

The dimensions of a cubiod are in the ratio of 1 : 2 : 3 and its total surface area is . Find the dimensions.

13.

The perimeter of a triangle is 30 cm. Its sides are in the ratio 1 : 3 : 2, find the measure of its smallest side.

14.

A solid cylinder has a total surface area of . Its curved surface area is of the total surface area. Find the volume of the cylinder.

15.

The perimeter of an isosceles triangle is 52 cm. The ratio of the equal side to its base is 6 : 1. Find the area of the triangle.

16.

An umbrella is made by stitching 10 triangular pieces of cloth of 5 different colour each piece measuring 20 cm, 50 cm and 50 cm. How much cloth of each colour is required for one umbrella?

17.

The sides of a triangular field are 4m, 5m and 6m. Find the number of rose beds that can be prepared in the field, if each rose bed, on an average needs space.

18.

Find the percentage increase in the area of a triangle if each side is increased by Y times.

19.

The area of the triangle having perimeter 32cm , one side 11cm and difference of other two sides is 15cm is

A)

 sq.cm

B)

 sq.cm

C)

 sq.cm

D)

 sq.cm

20.

The edges of a triangular board are 6cm, 8cm and 10cm.The cost of painting it at the rate of 9 paise per sq.cm is

A)

Rs 2

B)

Rs 2.16

C)

Rs 2.48

D)

Rs 3.00

CBSE Class 9 Mathematics Worksheet

Unit 5-Mensuration - Heron's formula

Answers

1.

2.

24 m

3.

4.

, 52 cm

5.

6.

2000

7.

20 cm

8.

6 cm

9.
Option D

10.

384

11.

12.

2, 4, 6 cm

13.

5 cm

14.

15.

47.83

16.

17.

124

18.

100Y2 %

19.
Option C
20.
Option B

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