Question

The sides of a right triangular field are in the ratio $5:3:4$ and its perimeter is $180$ m. Find the area.

• A. $1350m^2$
• B. $1300m^2$
• C. $1305m^2$
• D. $1333m^2$

Answer 1

The correct option is A $1350m^2$

Let sides of the triangle be $5x,3x,4x$.
Given, perimeter of triangle $=180$ m
$\therefore$ perimeter of triangle $=180=3x+4x+5x$
$\therefore x=15$
Substituting the value of $x$, we get
$a=45,b=60,c=75$
$\therefore$ Area of triangle $=\frac{\left(45\right)\times \left(60\right)}{2}=1350m^2$