Question

The area of a square in square feet is repersented by

Answer 1

1. Find an expression for a side length of the square.

For this case, the first thing to do is to know that the area of a square is:

A = L ^ 2

Where

L: side of the square.

We then have to factorize the given polynomial:

z ^ 2 + 12z + 36

(z + 6) * (z + 6)

Rewriting:

z ^ 2 + 12z + 36 = (z + 6) ^ 2

Answer:

The side of the square is:

L = (z + 6)

2. Find the perimeter when z = 12.

The perimeter of a square by definition is:

P = 4L

Where

L: side of the square.

Substituting we have:

P = 4 (z + 6)

For z = 12 we have:

P = 4 (12 + 6)

P = 72

Answer:

the perimeter when z = 12 is:

P = 72

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