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9 October, 07:31

The length of the rectangle is 3m less than twice the width, and the area of the rectangle is 14m^2. Find the dimensions of the rectangle.

Length:

Width:

+1
Answers (1)
  1. 9 October, 08:06
    0
    Width=x m

    length=2x-3

    Area=14m^2

    L*b=14

    (2x-3) * x=14

    2x^2-3x-14=0

    2x^2 - (7-4) x-14=0

    2x^2-7x+4x-14=0

    x (2x-7) + 2 (2x-7) = 0

    (2x-7) (x+2) = 0

    x=7/2 and x=-2does not exist because side cannot be negative

    so x=7/2

    Width=7/2m

    Length=7/2*2-3=4m
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