The perimeter can have any value greater than 1008.1 feet
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L + W = P/2 = 72 feet L = 3W so L = 3/4 x 72 = 54 feet
Any value less than or equal to 144 square units. The rectangle could be 12 * 12 with area = 144 or 11 * 13 and area = 143 or 10 * 14 and area = 140 or 1 * 23 and area = 23 or 0.1 * 23.9 and area = 2.39 or 0.01 * 23.99 and area = 0.2399 etc
The maximum area is attained when the rectangle is, in fact, a square. Since the perimeter = 48 feet, the maximum length for a square = 48/4 = 12 feet. So max area = 122 = 144 square feet.
144 cm2
144=12