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22 July, 05:01

The length of a rectangle is 6 meter less than twice its width. the area of the rectangle is 140m square. what are the dimensions of the rectangle

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  1. 22 July, 06:09
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    Hello:

    x : the lenghe y : the width

    x-6 = 2y ... (1)

    xy=140 ... (2)

    by (1) : x = 6+2y

    subsct in (2) : (6+2y) y = 140

    2y² + 6y - 140 = 0

    y² + 3y - 70 = 0

    delta : b²-4ac a=1 b=3 c = - 70

    3²-4 (1) (-70) = 289=17²

    y1 = (-3-17) / 2 negatif ... refused

    y2 = (-3+17) / 2 = 7

    x = 6+2 (7) = 20
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