Write the equation and solve the problem. The length of a rectangle is four less than twice the width. If the perimeter is 34, find the leng

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Write the equation and solve the problem. The length of a rectangle is four less than twice the width. If the perimeter is 34, find the length and the width.

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    2021-10-14T22:03:01+00:00

    The formula of a perimeter of a rectangle:

    P = 2(l + w)

    We have P = 34 and l = 2w – 4.

    Substitute:

    2(2w – 4 + w) = 34

    2(3w – 4) = 34       use distributive property

    (2)(3w) + (2)(-4) = 34

    6w – 8 = 34       add 8 to both sides

    6w = 42      divide both sides by 6

    w = 7

    l = 2w – 4 → l = 2(7) – 4 = 14 – 4 = 10

    Answer: the length = 10 and the width = 7.

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