Question

A square has an area of 64 square meters.

a. Find the length of one side of the square.
b. What is the perimeter of the square?

Answer 1

Side is 8 meters, Perimeter is 32 meters

Explanation:

One side

Squares have 4 equal sides. Area is found using l*w, but the sides are all equal in squares. Therefore, the area can be found using:

a=s^2

We know the area is 64, so we can substitute that in

64=s^2

Take the square root of both sides

`√(64)=√(s^2)`

8=s

One side is 8 meters

Perimeter

Squares have 4 equal sides, and the perimeter is all the sides added up.

p=s+s+s+s

We know the side is 8, so we can substitute that in

p=8+8+8+8

p=4*8

p= 32

The perimeter is 32 meters