The area of a square in square feet is represented by 4z^2-36z+81. What is an expression for the perimeter of the square?

1 Answer
May 3, 2016

Perimeter = 4(2z-9)

Explanation:

4z^2-36z+81 must first be factored to find the expression for the length of a side of the square. Noting that both 4z^2 and 81 are perfect squares, the result is (2z-9)^2

The side of the square is therefore 2z-9 and the perimeter is four times the length of the side.

Perimeter = 4(2z-9)