Question

The length and breadth of a rectangular field are in the ratio $5:4$. If its perimeter is $108$ m, find the dimensions of the field.

Answer 1

Let the length of the rectangle be $5x$ m.
Breadth of the rectangle $=4x$ m
Perimeter of the rectangle $=2$(Length $+$ Breadth)
$=2(5x+4x)m=18x$ m
It is given that the perimeter of the field is $108$ m.
$\therefore 18x=108$
$\Rightarrow x=\frac{108}{18}=6$
$\therefore$ Length of the field $=(5\times 6)m=30$ m
Breadth of the field $=(4\times 6)m=24$ m