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The square below has an area of 22 - 10x + 25 square meters.
What expression represents the length of one side of the square?


Sagot :

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

Answer:

Step-by-step explanation:

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

Step-by-step explanation:

Given,

Area of the Square = ( 22 - 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 = 22 - 10x + 25

s² = 22 - 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.

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