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Math Help - Perimeter Word Problem

  1. #1
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    Perimeter Word Problem

    I have been over and over this problem for 3 days, and I cannot get it right. Can someone please set me up with the right equation to work it out?

    "An architect designs a rectangle flower garden such that the width is exactly two-thirds of the length. If 260 feet of antique picket fencing ate to be used to enclose the garden, find the dimensions of the garden."

    The back of the book states that the Lenth is 78 and the Width is 52, of course the actual work is not in there and I cannot figure out how to come up with those numbers.

    I have been trying to use 260=2L+2(2/3), I desperately need help.
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  2. #2
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    Quote Originally Posted by BrandiLeigh View Post
    I have been over and over this problem for 3 days, and I cannot get it right. Can someone please set me up with the right equation to work it out?

    "An architect designs a rectangle flower garden such that the width is exactly two-thirds of the length. If 260 feet of antique picket fencing ate to be used to enclose the garden, find the dimensions of the garden."

    The back of the book states that the Lenth is 78 and the Width is 52, of course the actual work is not in there and I cannot figure out how to come up with those numbers.

    I have been trying to use 260=2L+2(2/3), I desperately need help.
    it should be 260=2*L+2*(2/3)*L

    where length of the garden = L
    and width of the garden = (2/3)*L

    now solve it .
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  3. #3
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    My working out would be as follows:

    perimeter = 2 x length + 2 x width
    260 = 2 L + 2 (2/3 L)
    260 = 2 L + 1 1/3 L
    260 = 3 1/3L
    260 / 3 1/3 = L
    78 = L

    Width is 2/3 the length
    Width = 78 * 2/3
    Width = 52

    I hope this helps
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