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Let the width be (x-7) and the length be x:

width*length = area

(x-7)*x = 228 sq ft

x2-7x-228 = 0

Solving the above quadratic equation works out as:

x = -12 or x = 19 it must be the latter because dimensions can't be negative.

Therefore: length = 19 feet and width = 12 feet

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