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
Roella W.
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)#

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