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10 August, 08:11

The perimeter of a rectangle is 90 feet. If the length is 25 feet more than the width, what are the dimensions of the rectangle?

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  1. 10 August, 12:09
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    Width = 10 feet

    Length = 2x + 4

    Length = 2 (10) + 4

    Length = 24 feet

    Dimensions are 10 feet by 24 feet.

    Step-by-step explanation:

    The perimeter of a rectangle is the length of all 4 sides added together. Since it is a rectangle, we know that it has 2 pairs of identical parallel sides, so the perimeter will be 2 * the length plus 2 times the width. The problem gives us some key information so that we can solve for the dimensions. If we let x equal the width, the length will be 2x + 4 so the equation will be ...

    2 (x) + 2 (2x + 4) = 68

    2x + 4x + 8 = 68

    6x + 8 = 68

    6x = 60

    x = 10

    Since we made the width x ...

    Width = 10 feet

    Length = 2x + 4

    Length = 2 (10) + 4

    Length = 24 feet

    Dimensions are 10 feet by 24 feet.
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