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30 March, 00:25

The length of a certain rectangle is 15cm more than three times its width. If the perimeter of the rectangle is 94cm, what is the area.

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  1. 30 March, 03:36
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    Step-by-step explanation:

    Let w be the width

    Length = 3w + 15

    Perimeter = 94 cm

    2 * (length + width) = 94

    2 * (3w+15 + w) = 94

    2 * (4w + 15) = 94

    4w + 15 = 94/2

    4w + 15 = 47

    4w = 47 - 15

    4w = 32

    w = 32/4

    w = 8 cm

    Length = 3w + 15 = 3*8 + 15 = 24 + 15 = 39

    Length = 39cm

    Area = length * width = 39*8 = 312

    Area = 312 cm²
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