Question

The area of a square is given by the expression square inches. Find an expression that represents the length of one side of the square, in inches.

Answer 1

A. x-6

Explanation:

The area of a square is given by the expression
`x^2-12x+36` square inches. Now we need to find an expression that represents the length of one side of the square, in inches. To do that we need to factor
`x^2-12x+36`.

`x^2-12x+36`

`=x^2-6x-6x+36`

`=x(x-6)-6(x-6)`

`=(x-6)(x-6)`

`=(x-6)^2`

Since area of square is given by (side)^2

Hence one side of square is (x-6).

So choice A. x-6 is correct.