Question

The sides of a rectangle are in the ratio $5:4$ and its perimeter is $90cm$. Find its length and breadth.

Answer 1

Given:

In rectangle, The sides of a rectangle are in the ratio $5:4$.

$\Rightarrow$ Length $\left(l\right)=5x$,

Breadth $\left(b\right)=4x$

Perimeter of rectangle $=2(l+b)$

It is given that, Perimeter of rectangle $=90cm$

$\Rightarrow 2(l+b)=90cm$

$\Rightarrow 2(5x+4x)=90cm$

$\Rightarrow 2\left(9x\right)=90cm$

$\Rightarrow 18x=90cm$

$\Rightarrow x=\frac{90cm}{18}$

$\Rightarrow x=5cm$

$\Rightarrow l=5x=5\times 5cm=25cm$

$\Rightarrow l=4x=4\times 5cm=20cm$

Hence, the length and breadth of the rectangle are $25cm$ and $20cm$.