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9 August, 00:43

The perimeter of a rectangular playground can be no greater than 120 meters. The width of the playground cannot exceed 22 meters. What are the possie lengths of the playground?

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  1. 9 August, 02:41
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    There are an infinite number of values satisfying the requirements; every couple of numbers satisfying the following conditions are valid:

    base = 60-w meters

    width = w meters

    0 < w < = 22

    Step-by-step explanation:

    Since the playground has a rectangular shape, let us us call b the base of the rectangle and w its width. In order for the rectangle to satisfy the condition of P = 120, we need for the following equation to satisfy:

    2b + 2w = 120

    Solving for b, we get that b = (120 - 2w) / 2 = 60 - w.

    Given a particular value (w) for the width, the base has to be: (60-w).

    Therefore, the possible lengths of the playground are (60-w, w), where 60-w corresponds to the base of the rectangle and w to its width. And w can take any real value from 0 to 22.
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