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7 October, 04:45

A rectangle with a perimeter of 40 inches has a width that is 3 times the length. What is the length?

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  1. 7 October, 07:32
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    Divide by 4, the width is 10 inches, times by 3, the length is 30 inches
  2. 7 October, 07:45
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    To find the perimeter of a rectangle, the formula is 2*length+2*width=perimeter.

    So, say that the variable x is the length. Because the width is 3 times the length x, the width is equal to 3x.

    I can plug what we know into the formula.

    (2*x) + (2*3x) = 40

    2x + 6x = 40

    8x = 40

    Divide both sides by 8 to get x = 5.

    So, your length is 5 inches!

    (To double check, you can just plug it into the problem. (2*5) + (2*15) = 10 + 30 = 40.)
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