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Let the dimensions be x and y:

2x+2y = 66 => 2y = 66-2x => y = 33-x

xy = 216 => x(33-x) = 216 => 33x-x2-216 = 0 => x2-33x+216 = 0

Solving the above quadratic equation gives x a value of 9 or 24

Therefore the dimensions are 9 feet by 24 feet

Check: (2*9)+(2*24) = 66 feet and 9*24 = 216 square feet

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