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19 March, 12:30

The length of a rectangle is 4 inches greater than the width. the perimeter of the rectangle is 24in what are the dimensions of the rectangle

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  1. 19 March, 12:45
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    Let's say:

    lengh=x

    width=y

    "The length of a rectangle is 4 inches greater than the width."

    That means: x=y+4 (in inches).

    the parameter is (by definition) 2*lenght+2*width.

    so we have 2*x+2y=24.

    we also know that x=y+4

    Substituting:

    2 * (y+4) + 2y=24.

    2*y+8+2y=24

    4*y+8=24//substitute 8 from both sides

    4*y=16//dividing both sides by 4.

    y=4

    So the width is 4!

    The lenght is y+4=8!

    the dimensions are 4 by 8.

    (check: 2*4+2*8=24, correct!)
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