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"1. An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 290 feet of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden. 2. A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 27 feet more than the length of the shortest side. Find the dimensions if the perimeter is 171 feet. 3. A lawn is in the shape of a trapezoid with a height of 40 feet and bases of 50 feet and 150 feet. How many bags of fertilizer must be purchased to cover the lawn if each bag covers 2400 square feet?"
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