Question

The length and breadth of a rectangular park are in the ratio $4:3$. Its area is $2352sqcm$. What are the length are breadth of the field?

Answer 1

Given, $l:b=4:3$

Let length $l=x$, $\frac{x}{b}=\frac{4}{3}$

$\Rightarrow b=\frac{3x}{4}$

Area$=x\cdot \frac{3x}{4}=2352c{m}^2$

$x^2=\frac{4}{3}\times 2352$

$\Rightarrow x^2=3236$

$x=56$cm

Length$=56$ cm, Breadth$=\frac{3\times 56}{4}=42$ cm.