Q70. - Algebra 1

Question

Find the perimeter and area of each figure.

A square with a length of 4.5 inches

Step-by-Step Solution

Answer

The perimeter is 18 inches and the area is 20.25 square inches.

Step 1. Write the given information.

Given that length of a square is 4.5 inches.

Step 2. Formula used.

The perimeter of a square whose each side is a is 4×(side)

Also, the area of a square with sides a is $\left(side\right)\times \left(side\right)={\left(side\right)}^2={\left(a\right)}^2$

Step 3. Description of the step.

To find the perimeter of a square whose length of one side is $4.5$ is

$\begin{array}{l}Perimeter=4\left(side\right)\\ =4\left(4.5\right)\\ =18\end{array}$

Step 4. Description of the step.

Now, the area of the given square can be calculated as

$\begin{array}{l}Area={\left(side\right)}^2\\ ={\left(4.5\right)}^2\\ =\left(4.5\times 4.5\right)\\ =20.25\end{array}$