Question

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.

Answer 1

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.