Question

The sides of a rectangle are the ratio 4 : 5
Find its sides if the perimeter is 90 cm.

Answer 1

Perimeter of a rectangle = 90 cm.

Ratio in sides = 4:5
Let first side = 4x
Then second side = 5x
$\therefore Perimeter=2(l+b)\Rightarrow 2(4x+5x)=90\Rightarrow 2\times 9x=90\Rightarrow 18x=90\Rightarrow x=\frac{90}{18}=5\therefore Firstside=4x=4\times 5=20cm$
and second side = $5x=5\times 5=25cm$