Question

A square has an area of 36 ft2. What is the perimeter of the square? Show or explain your answer.

Answer 1

Answer:

$\boxed {\boxed {\sf 24 \ ft}}$

Step-by-step explanation:

We are asked to find the perimeter of a square. The perimeter is the sum of all the sides in a shape. Since a square is made of 4 equal sides, we can add the sides or just multiply a side length by 4.

$p=4 s$

1. Side Length

However, we are given the area. We must solve for the side length. The formula for calculating the area of a square is:

$a= s^2$

We know the area of the square is 36 square feet. We can substitute this value in for a.

$36 \ ft^2 =s^2$

We are solving for the side, so we must isolate the variable s. It is being squared. The inverse of a square is the square root, so we take the square root of both sides of the equation.

$\sqrt {36 \ ft^2}= \sqrt{s^2}$

$\sqrt {36 \ ft^2}=s$

$6 \ ft =s$

2. Perimeter

Now we know the side length is 6 feet, and we can substitute this into the perimeter formula.

$p=4s$

$p= 4 (6 \ ft)$

Multiply.

$p= 24 \ ft$

The perimeter of the square is 24 feet.