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sveticcg [70]
3 years ago
7

The area of a square in square feet is represented by z^(2)+12z+36. Find an expression for a side length of the square.

Mathematics
1 answer:
Gnoma [55]3 years ago
5 0

Answer:

Side is equal to (z+6) feet.

Step-by-step explanation:

A square is a four sided polygon in which all sides are equal, diagonals are equal and each angle is equal to 90°

Area of a square = side × side

Area of a square =z^2+12z+36

Here, write 12z=6z+6z

Therefore,

Area of a square =z^2+6z+6z+36

=z(z+6)+6(z+6)

=(z+6)^2 square feet

So,

side × side =(z+6)^2

This implies side is equal to (z+6) feet.

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