Anonymous
Anonymous asked in Science & MathematicsMathematics · 2 months ago

A 100m^2 hay shed is to be extended to give 475m^2 of floor space in total, as shown.All angles are right angles. Find the value of x.?

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  • David
    Lv 7
    2 months ago

    The value of x = 15 m because (25*15)+(10*10) = 475 square m

  • Ash
    Lv 7
    2 months ago

    extended area = 475 m² - 100m² = 375 m²

    Extended area = L x W

    375 = (x+10)x

    375 = x²+10x

    x²+10x - 375 = 0

    (x+25)(x-15) = 0

    x = -25 ; 15

    ignoring negative value

    x = 15 m

     

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