Question

Find the side of a square whose area is equal to the area of a rectangle with sides $6.4m$ and $2.5m$.

Answer 1

Step 1: Find the area of rectangle.

$\because$ Area of rectangle = length$\left(l\right)$$\times$breadth$\left(b\right)$.

So, area of rectangle $=6.4m\times 2.5m=16m^2$

Step 2: Take square root of the area of rectangle to calculate the side of square.

Let side of square $\text{'}S\text{'}$

$\because$ Area of square = $side\times side$

Area of square = Area of rectangle

$\Rightarrow S\times S=16$

$\Rightarrow S$ $=\sqrt{16}$

$\therefore S=4m$

Hence, side of square is $4m$.