Stuffy Rectangle

Level pending

The length of a rectangle is 3/4 cm more than the square of its width. If the length is reduced by 1 cm, the area of the resulting rectangle is 3 square cm. The dimensions of the original rectangle can be written as \(\frac{a}{b}\) cm x c cm where a and b are coprime positive integers. Find the value of \(a+b+c\).

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