Question

The perimeter of a square is$28cm$.What is the area?

Short answer

The area of the square is $49c{m}^2$

Step-by-step solution

Step 1. Given information.

Perimeter of the square is$P=28cm$ .

Step 2. Concept  Used.

If is the side of the square

Then, the area of the square is$A={\left(side\right)}^2$

Perimeter of the square:

$P=4\times \left(side\right)$

Step 3. Let’s calculate the area of the square.

Put the value of perimeter into the formula and find the side length.

Perimeter of the square:

$\begin{array}{c}28=4\times \left(s\right)\\ s=\frac{28}{4}\\ s=7cm\end{array}$

Area of the square:

$\begin{array}{c}A\text{Invalid <m:msup> element}=\\ =49c{m}^2\end{array}$

Therefore, the area of the square is $49c{m}^2$