Answer:
The length of one side of the square is (x-6) m
Step-by-step 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
[tex]A=x^{2}-12x+36[/tex]
we know that
[tex](x-a)^2=x^2-2ax+a^2[/tex]
so
Rewrite the given expression as perfect squares
[tex]x^{2}-12x+36=(x-6)^2[/tex]
[tex]A=(x-6)^2[/tex] ----> equation A
Remember that the area of a square is equal to
[tex]A=b^2[/tex] ----> equation B
where
b is the length side of square
so
equate equation A and equation B
[tex]b^2=(x-6)^2[/tex]
[tex]b=(x-6)\ m[/tex]
therefore
The length of one side of the square is (x-6) meters
