Question

The area of a rectangle is $16\frac{2}{3}{m}^2$. If in breadth in $2\frac{2}{9}m$, find its length

Answer 1

Let the length of a rectangle be $l$

Given breadth of a rectangle is $2\frac{2}{9}m=2+\frac{2}{9}=\frac{20}{9}m$

Area of a rectangle is $16\frac{2}{3}{m}^2$

$⟹l(\frac{20}{9})=16+\frac{2}{3}$

$⟹l\times \frac{20}{9}=\frac{50}{3}$

$⟹l=\frac{50}{3}\times \frac{9}{20}$

$⟹l=\frac{15}{2}=7\frac{1}{2}$

So the length of a rectangle is $7\frac{1}{2}m$