The square below has an area of x^2-10x+25x 2 - 10x+25 square meters. What expression represents the length of one side of the square?

Expression that represents the length of one side of the square is x - 5.

Step-by-step explanation:

Given,

Area of the Square = (x² - 10x + 25) m²

We have to find: Length of the side of the square.

Let s be the side of square.

We find length of side of the by using factorization.

According to the question,

s² = x² - 10x + 25

s² = x² - 5x - 5x + 25

s² = x (x - 5) - 5 (x - 5)

s² = (x - 5) (x - 5)

s² = (x - 5) ²

Taking square root on both sides we get,

s = x - 5

Therefore, Expression that represents the length of one side of the square is x - 5.