Question

A square has an area of x^2-12+36 square meters. What expression represents the length of one side of the square? | Khan Acadamy

Answer 1

The length of one side of the square is (x-6) m

Explanation:

The correct question is

A square has an area of x^2-12x+36 square meters. What expression represents the length of one side of the square?

we have

`A=x^(2)-12x+36`

we know that

`(x-a)^2=x^2-2ax+a^2`

so

Rewrite the given expression as perfect squares

`x^(2)-12x+36=(x-6)^2`

`A=(x-6)^2` ----> equation A

Remember that the area of a square is equal to

`A=b^2` ----> equation B

where

b is the length side of square

so

equate equation A and equation B

`b^2=(x-6)^2`

`b=(x-6)\ m`

therefore

The length of one side of the square is (x-6) meters