Question

Find the area of the square if its perimeter is $36cm$

Answer 1

Step 1: Finding the side of the square

Given perimeter of the square is$36cm$

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

$$\begin{gathered} 4a=36 \\ a=\frac{36}{4} \\ a=9cm \end{gathered}$$

Step 2: Finding the area of the square:

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

$$\begin{gathered} =9\times 9(\sin ceais9cm) \\ =81c{m}^2. \end{gathered}$$

Hence the area of the square is $81c{m}^2.$