Let's calculate the perimeter and area of the given figure separately. Notice that because all of its sides are congruent and one of the angles is a right angle, we have a square.
Perimeter
We are asked to find the perimeter of the given figure. In general, the perimeter of a figure is the sum of its side lengths. A square has 4 equal sides, so we can find its perimeter using the following formula.
P=a+a+a+a ⇔ P=4a
In this formula, a is the length of each side. From the picture, we know that a is equal to 7 inches. Substituting this value into the formula, we can calculate P.
To find the area of the square, we will use the formula for calculating the area of a rectangle.
A=l * w
Since a square is a rectangle whose length l and width w are equal, we can adapt the formula for a square with side length s.
A=l * w ⇒ A=s^2
We have been given that the side length s is equal to 7 inches. To find the area of the square, we will substitute this value into the formula to calculate A.
