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CBSE Class 9 Mathematics Worksheet

Unit 5-Mensuration - Heron's formula

1.

The sides of a quadrilateral ABCD are 6 cm, 8 cm, 12 cm and 14 cm (taken in order) respectively, and the angle between the first two sides is a right angle. Find its area.

2.

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

3.

The perimeter of an isosceles triangle is 32 cm. The ratio if the equal side to its base is 3 : 2. Find the area of the triangle.

4.

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.

5.

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?

6.

The area of an isosceles triangle is . If one of its equal side is 5cm. Find its base

7.

Ankur makes the kite using two pieces of paper. 1st piece of paper is cut in the shape of square where one diagonal is of the length 30 cm. At one of the vertex of this square a second piece of paper is attached which is of the shape of an equilateral triangle of length to give the shape of a kite. The length of the sides of triangle is a, such that a . Find the area of this kite.

8.

Find the area of a right triangle whose sides containing the right angle are 5 cm and 6 cm.

9.

A cuboidal oil tin is 30 cm X 40 cm X 50 cm. Find the cost of the tin required for making 20 such tins if the cost of tin sheet is .

10.

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.

11.

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

12.

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.

13.

A rhombus has all its internal angles equal. If one of the diagonals is 7 cm, find the length of other diagonal and the area of the rhombus.

14.

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides.The lengths of the perpendiculars are 10 cm, 12 cm and 7 cm. Find the area of the triangle.

15.

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

16.

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 6 cm, 8 cm and 4 cm. Find the area of the triangle.

17.

A field in the shape of trapezium has its parallel sides as 23 m and 11 m while the non parallelsides are 14 m and 15 m. Find the amount of money farmer has to pay if the cost of sowing the seeds per area is Rs. 132.

18.

Two side of a parallelogram are 10 cm and 7 cm. One of its diagonals is 13 cm. Find the area.

19.

Choose the correct option:  The perimeter of a triangular f ield is 36 and the ratio of the sides is 8:5:5. The area of the field in sq m is _________.

20.

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

CBSE Class 9 Mathematics Worksheet

Unit 5-Mensuration - Heron's formula

Answers

1.

2.

5 cm

3.

4.

384

5.

6.

6 cm

7.

8.

9.

Rs. 376

10.

124

11.

100Y2 %

12.

47.83

13.

7 cm,

14.

15.

, 52 cm

16.

17.

Rs. 29520.48

18.

19.

48

20.

2, 4, 6 cm

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