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The area is not sufficient information to determine the length and width. There are infinitely many possible shapes: ranging from nearly square areas to a extremely long very thin strips. Select any positive number, X, which is less than sqrt(84). Let Y = 84/XThen consider a rectangle with dimensions X and Y. Its area will be X*Y = X*84/X = 84 sq cm and its perimeter = 2*(X + Y).Thus X = 1 cm gives perimeter = 170 cmX = 0.1 cm => perimeter = 1680.2 cmX = 0.01 cm => perimeter = 16800.02 cmX = 0.001 cm => perimeter = 168000.002 cm
And so on, without limit.

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Q: What is the perimeter of a rectangle is the area is 84 square inches?
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