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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

User Jerold
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1 Answer

1 vote

Answer:

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

User Ahsan Kamal
by
7.7k points

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