# AREA OF TRIANGLE USING HERONS FORMULA WORKSHEET

Problem 1 :

Find the area of the triangle with a = 12 yards, b = 16 yards and c = 24 yards. Round to the nearest square yard.

Solution

Problem 2 :

Find the area of the triangle with a = 4 feet, b = 4 feet and c = 2 feet. Round to the nearest square yard.

Solution

Problem 3 :

The sides of a triangular field are 41 m, 40 m and 9 m. Find the number of rose beds that can be prepared in the field, if each rose bed, on an average needs 900 cm2 space.

Solution

Problem 4 :

Calculate the area of the shaded region given below.

Solution

Problem 5 :

Find the cost of laying grass in a triangular field of sides 50 m, 65 m and 65 m at the rate of \$7 per m2.

Solution

Problem 6 :

The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 13 m, 14 m and 15 m. The advertisements yield an earning of \$200 per m2 a year. A company hired one of its walls for 6 months. How much rent did it pay?

Solution

Problem 7 :

Find the semi perimeter of a triangle having the length of its sides as 20 cm,15 cm and 9 cm.

Solution

Problem 8 :

The edges of a triangular board are 6 cm, 8 cm and 10 cm. Find the cost of painting it at `0.09 per cm2

Solution

Problem 9 :

The perimeter of a triangle is 54 cm and its sides are in the ratio 5:6:7. Find the area of the triangle.

Solution

Problem 10 :

Find the perimeter of an equilateral triangle whose area is equal to that of a triangle with sides 21 cm, 16 cm and 13 cm.

Solution

1)  Area of the triangles is approximately 85 square yards.

2)  Area of the triangles is approximately 4 square feet.

3)  2000 rose beds.

4)  Area of the shaded region = 1074 square meter.

5)  \$6300

6)  \$1394.54

7)  22 cm

8)  \$2.16

9)   132.27 cm2

10) the required side length is 15.49 cm.

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