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12 November, 12:57

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?

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  1. 12 November, 16:50
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    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.
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