Find perimeter of a square from a given polynomial

Question

The area of a square is represented by 9z2 - 12 z + 4. What is hte expression for the perimeter of the square?

Answer 1

If you factor the area expression, you will see that what each side is for the square

9z²-12z+4 = (3z-2)(3z-2)

This means that one side of the square is (3x-2). To find the perimeter, you have 4 sides that are the same length.

4(3z-2) = 12z-8 if you use the distributive property.

12z-8 is the perimeter

Another method could be add all 4 of the sides together. This would be

(3z-2)+(3z-2)+(3z-2)+(3z-2) = 12z-8 (You get the same answer regardless of method)