Question

Find the area of the square if its perimeter is $720cm.$

Answer 1

Step 1: Finding the side of the square

Given perimeter of the square is$720cm$

The perimeter of the square is $4a\mathrm{where}\mathrm{a}\mathrm{is}\mathrm{the}\mathrm{side}\mathrm{of}\mathrm{the}\mathrm{square}.$

$$\begin{gathered} 4a=720 \\ a=\frac{720}{4} \\ a=180cm \end{gathered}$$

Step 2: Finding the area of the square:

Area of the square$=a^2\mathrm{where}\mathrm{a}\mathrm{is}\mathrm{the}\mathrm{side}\mathrm{of}\mathrm{the}\mathrm{square}.$

$$\begin{gathered} =180\times 180(\sin ceais180cm) \\ =32400c{m}^2. \end{gathered}$$

Hence, the area of the square is $32400c{m}^2.$