Question

A square sheet of paper has a perimeter of $40cm.$ Find is the length of its side and the area of the square sheet?

Answer 1

Let ABCD is a square sheet with its sides $=xcm.$

Perimeter of square $=4\times side$

Therefore, $4x=40cm.$

$$\begin{gathered} x=\frac{40}{4}cm \\ x=10cm \end{gathered}$$

So, the side of square is $10cm$.

The area of the square sheet $=side\times side$

$$\begin{gathered} =10\times 10 \\ =100c{m}^2 \end{gathered}$$

Hence, the area of the square sheet is $100c{m}^2$.