Smile 發問於 科學及數學數學 · 4 月 前

Maths problem, how to do (b)?

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  • SC147
    Lv 6
    4 月 前
    最佳解答

    (a) width of original rectangle = 224/x

    width of new rectangle = 224/x + 1 = (224+x)/x

    (b) area of new rectangle :

    (x-1) (224/x + 1) = 224+1

    224 + x - 224/x - 1 = 225

    x - 224/x = 2

    x² - 224 = 2x

    x² - 2x - 224 = 0

    (x-16)(x+14) = 0

    x =16 or x = -14(rejected)

    ∴ x = 16

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