Question

What is the length of one side of a square when it has an area of 100 inches squared?

and what is the squares perimeter?

Answer 1

The perimeter of the square is 40 in

Answer 2

L = 10 in
P = 40 in

Explanation:

The area of a square is given by the equation:

A = L²

We rearrange this equation to make L the subject:

Square root both sides:

√A = L

Now we substitute A into our rearranged equation to find L:

L = √A

L = √100

L = 10 in

The perimeter of a square is given by the equation:

P = 4L

Substitute the L we just found to find P:

P = 4(10)

P = 40 in