If the measure of one side of a square is increased by 2 centimeters and the measure of the adjacent side is decreased by 2 centimeters, the area of the resulting rectangle is 32 square centimeters. find the measure of one side of the square.

Step-by-step explanation:

We know that a square has equivalent sides, which we are gonna call .

If one side increases by 2 centimeters, this can be represented as

If the adjacent side decreases by 2 centimeters, its representation is

So, the area of the new figure is

Which, according to the problem, equals 32 square centimeters.

Let's solve this equation, first we need to apply the distributive property

We replace this in one of the sides expressions

Therefore, one of the sides is approximately 3 centimeters.

the correct answer is $7.38

step-by-step explanation: