Question:
The sides of a rectangle are in the ratio 4 : 5 and its perimeter is 180 cm. Find its sides.
Solution:
Let the length be $4 x \mathrm{~cm}$ and the breadth be $5 x \mathrm{~cm}$.
Perimeter of the rectangle $=180 \mathrm{~cm}$
Perimeter of the rectangle $=2(l+b)$
$2(l+b)=180$
$\Rightarrow 2(4 x+5 x)=180$
$\Rightarrow 2(9 x)=180$
$\Rightarrow 18 x=180$
$\Rightarrow x=10$
$\therefore$ Length $=4 x \mathrm{~cm}=4 \times 10=40 \mathrm{~cm}$
Breadth $=5 x \mathrm{~cm}=5 \times 10=50 \mathrm{~cm}$
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