Question

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?

Answer 1

Answer:x^2 −10x+25=(x−5)^ 2

Explanation:

Answer 2

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

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.