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6 January, 02:40

the perimeter of a standard-sized rectangular rug is 84 ft the length is 22 ft longer than the width find the dimensions

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  1. 6 January, 03:14
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    The length would be 32 and the width would be 10

    Step-by-step explanation:

    For the purpose of this, we'll set the width as x. We can then define the length as x + 22 since we know it is 22 ft longer than the width. Now we can use those along with the perimeter formula to solve for the width.

    P = 2l + 2w

    84 = 2 (x + 22) + 2 (x)

    84 = 2x + 44 + 2x

    84 = 4x + 44

    40 = 4x

    10 = x

    Now since we know that the width is 10ft, we can add 22ft to it to get the length, which would be 32ft.
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