Question

The sides of a triangular plot are in the ratio 5:4:3 and its perimeter is 96 m find its area .​

Answer 1

Let x be the common multiple of the sides ,

5x, 4x,3x

The perimeter of triangle = sum of all sides of triangle

96=5x+4x+3x

96=12x

96÷12=x

x=8

The side of triangle are ,

5x=5×8=40

4x=4×8=32

3x=3×8=24

Let ,

a =40

b=32

c=24

The area of triangle by herons formula ,

s

= a+b+c÷2

=40+32+24÷2

=96÷2

=48

=384 square cm