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An architect designs a rectangular flower garden such that the width is exactly two-third of the length.?

If 260 feet of antique picket fencing are to be used,find the dimensions of the garden.

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  1. Sounds like homework? You know the perimeter of the garden is 260 feet - you also know that if the length is X, the width is 2X/3. Well 2X + 2(2X/3) = 260 2X + 4X/3 = 260 (multiply all factors by 3 to get rid of the fraction) 6X + 4X = 780 (add the left side together) 10X = 780 (divide both sides by 10) X = 78 The length is 78 and the width is 2/3*78 or 52. Proof: 78 + 78 + 52 + 52 = 260 (the length of the fence)
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