Question

The area of a square of side $16cm$ is the same as that of a rectangle of length $32cm$. Find its breadth.

Answer 1

As we know that,

Area of square $=a^2$

Here $a$ is the length of side of square.

Therefore,

Area of given square $={16}^2=256{cm}^2$

Length of rectangle $=32cm$

Area of rectangle $=$ Area of square $\left(\text{Given}\right)$

Therefore,

Area of rectangle $=l\times b$

$b\times 32=256$

$\Rightarrow b=\frac{256}{32}=8cm$

Hence the breadth of rectangle is $8cm$.