Q37. - Algebra 1

Question

Find the perimeter and area of each figure.

Step-by-Step Solution

Answer

Perimeter of the given figure is 36 in. and area is 81 square inches.

Step 1. Identify the given figure.

In the given figure, observe that all the sides are equal and inclined at the right angle with each other.

So, the given figure is a square with a side length of 9 inches.

Step 2. Formula used.

For a square of side length, a, we have

$\begin{array}{l}\text{Perimeter of square }P=4a\\ \text{Area of square }A=a^2\end{array}$

Step 3. Calculate the perimeter and area of the square.

To find the perimeter and area of the square, substitute 9 for a in the above formulas and simplify further as shown below:

$\begin{array}{l}\text{Perimeter of square}\\ P=4\left(9\right)\\ P=36\text{ in}\\ \\ \text{Area of square }\\ A={\left(9\right)}^2\\ A=81{\text{ in}}^2\end{array}$

Therefore,

$\begin{array}{l}\text{Perimeter }P=36\text{ in}\\ \text{Area of square }A=81{\text{ in}}^2\end{array}$