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12 May, 14:43

the perimeter of a rectangle is 34cm. the length is 1cm longer than the width. What are the dimensions of the reactangle? show your work

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  1. 12 May, 15:06
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    Let W be the width of the rectangle.

    Let L be the length of the rectangle.

    The length is 3 cm more than twice its width. Therefore:

    L = 2W + 3

    The perimeter of the rectangle is 34 cm. Therefore:

    2W + 2L = 34

    We can substitute the value of L from the first equation into the second:

    2W + 2 (2W + 3) = 34

    Distributing the 2 on the right:

    2W + 2*2W + 2*3 = 34

    2W + 4W + 6 = 34

    6W + 6 = 34

    Subtracting 6 from both sides:

    6W + 6 - 6 = 34 - 6

    6W = 28

    Dividing both sides by 6:

    or,

    W = 4 and 2/3

    We can substitute this value of W back into the first equation

    to find the value of L:

    L = 2*W + 3

    or,

    L = 9 and 1/3 + 3 so,

    L = 12 and 1/3
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