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10 February, 17:59

The length of a rectangle is 4 meters less than twice the width. If the area of the rectangle is 240 square meters, find the dimensions. How many meters is the length? How many meters is the width?

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  1. 10 February, 18:10
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    Length is 12 meter and width is 20 meter.

    Step-by-step explanation:

    Let L be the length and W be the width.

    The length of a rectangle is 4 meters less than twice the width.

    That is

    L = 2W - 4

    The area of the rectangle is 240 square meters

    That is

    L x W = 240

    (2W - 4) x W = 240

    2W² - 4W = 240

    W² - 2W - 120 = 0

    (W - 12) (W+10) = 0

    W = 12 m or W = - 10 m

    So width of rectangle is 12 meter

    Length = 2 x 12 - 4 = 20 m

    Length is 12 meter and width is 20 meter.
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