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15 April, 19:12

A building and I city has a rectangular base. The length of the base measures 70ft less than twice the width. The perimeter of this base is 820ft. What is the width?

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  1. 15 April, 19:35
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    Answer:the width is 160 ft

    Step-by-step explanation:

    Let L represent the length of the rectangular base.

    Let W represent the width of the rectangular base.

    The length of the base measures 70ft less than twice the width. This means that

    L = 2W - 70

    The formula for determining the perimeter of a rectangle is expressed as

    Perimeter = 2 (L + W)

    The perimeter of this base is 820ft. This means that

    2 (L + W) = 820

    L + W = 820/2 = 410

    Substituting L = 2W - 70 into L + W = 410, it becomes

    2W - 70 + W = 410

    3W - 70 = 410

    3W = 410 + 70 = 480

    W = 480/3 = 160
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