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A math question. Worded question Please answer with detailed explanation?

An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 260 feet of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden. Please answer with detailed explanation

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1. 260 is your perimeter. let's say x is your length and y is your width. We know it's a rectangle so 2x + 2y = 260 and we are also give that 2/3x = y. Just replace the y by 2/3x in the first equation to solve for x. 2x + 2 times 2/3x = 260 6/3x + 4/3x = 260 10/3x = 260 x = 260 x 3 / 10 x = 78 and y = 2/3 x 78 y = 52