Question

if the perimeter of a traiangle field is 144 m and ratio of the sides is 3: 4 : 5 , find the area of the field .

Answer 1

let the common ratio be x
so 3x+4x+5x=144
12x=144
x=144/12
=12
3x=36
4x=48
5x=60
Area by herons formula:
Sq root of s (s-a)(s-b)(s-c)
S=perimeter/2
=72
so, 72×36×24×12
=746496 m^2..
Hope it helps..
Herons formula is used to derive the area of a scalene triangle.