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

Side is equal to
`(z+6)` feet.

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.