calculus

A rectangle has a perimeter of 10 meters. Express the area A of the rectangle as function of the width x.

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  1. x = width

    y = length

    P = Perimeter

    A = Area

    Perimeter = 2 * width + 2 * length

    P = 2 x + 2 y

    P = 2 * ( x + y )

    2 * ( x + y ) = 10 Divibe both sides by 2

    x + y = 5

    y = 5 - x

    Area = width * length

    A = x * y

    A = x * ( 5 - x )

    A = 5 x - x ^ 2

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  2. thank you so much. :)

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