Question

A rectangle has its area equal to that of square of side $80\mathrm{cm}$. If the length of a rectangle is $160\mathrm{cm}$, find its breadth.

Answer 1

Side of square = $80\mathrm{cm}$

$\mathrm{Area}\mathrm{of}\mathrm{square}=\mathrm{side}\times \mathrm{side}=80\times 80=6400{\mathrm{cm}}^2$

We are given that, area of square = area of rectangle

So, Area of rectangle = $6400{\mathrm{cm}}^2$ and length of rectangle = $160\mathrm{cm}$

Now, using the formula of area of rectangle to find out its breadth.

$$\begin{gathered} \mathrm{Area}\mathrm{of}\mathrm{rectangle}=\mathrm{length}\times \mathrm{breadth}=6400{\mathrm{cm}}^2 \\ \Rightarrow 160\times \mathrm{breadth}=6400 \\ \Rightarrow \mathrm{breadth}=\frac{6400}{160}=40\mathrm{cm} \end{gathered}$$

Therefore, breadth of rectangle =$40\mathrm{cm}$.