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3 June, 07:16

The length of the rectangle is 4 less than twice the width. The perimeter is 28. Find the length and width.

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  1. 3 June, 07:27
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    Length=8 and width=6

    Step-by-step explanation:

    The length of the rectangle is 4 less than twice the width, let l stand for length and w for width: l=2w-4

    The perimeter is equal to 28 and the formula for the perimeter of a rectangle is 2l+2w: 28=2l+2w

    Substitute l into the equation:

    28=2 (2w-4) + 2w

    28=4w-8+2w

    28=6w-8

    36=6w

    w=6

    Find for l:

    l=2w-4

    l=2 (6) - 4

    l=12-4

    l=8
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