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7 August, 15:22

The lenght of a rectangle is 2 cm less than 7 times the width. the perimeter is 60 cm. find the width and lenght

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  1. 7 August, 15:25
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    First, you want to establish your equations.

    L=7W-2

    P=60

    This is what we already know. To find the width, we have to plug in what we know into P=2 (L+W), our equation to find perimeter.

    60=2 (7W-2+W)

    Now that we only have 1 variable, we can solve.

    First, distribute the 2.

    60=14W-4+2W

    Next, combine like terms.

    60=16W-4

    Then, add four to both sides.

    64=16W

    Lastly, divide both sides by 16

    W=4

    To find the length, we plug in our width.

    7W-2

    7 (4) - 2

    28-2

    L=26
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