Question

24. The sides of a triangular plot are in the ratio of 3:5:7 and its
perimeter is 300 m. Find its area?
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Answer 1

Step-by-step explanation:

Let the sides of a triangular plot is 3x , 5x and 7x

3x + 5x + 7x = 300 m

15x = 300

x = 300/15

x = 20

then the sides of triangular plot is

3x = (3 × 20) = 60

5x = (5 × 20) = 100

7x = (7 × 20) =140

now the area of triangular plot is

area =

\sqrt{s(s - a)(s - b)(s - c)}

s(s−a)(s−b)(s−c)

\sqrt{150(150 - 60)(150 - 100)(150 - 140)}

150(150−60)(150−100)(150−140)

1500 \sqrt{3 \: \: \: {m}^{2} }1500

3m

2