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24 March, 12:09

The perimeter of a rectangle is 24mm. The length is 4mm less than triple the width. What are the dimensions of the rectangle

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  1. 24 March, 12:15
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    The length is equal to 8. The width is equal to 4.

    2l + 2w = 24

    l = 3w - 4

    Because we have a value for l, we can plug it into the first equation to solve for the exact value of w.

    2 (3w - 4) + 2w = 24

    Distributive property.

    6w - 8 + 2w = 24

    Combine like terms.

    8w - 8 = 24

    Add 8 to both sides.

    8w = 32

    Divide both sides by 8.

    w = 4

    Now that we have a value for w, we can plug it into the second equation to solve for the exact value of l.

    l = 3 (4) - 4

    l = 12 - 4

    l = 8
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