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Let the length of the rectangle be l cm and breadth be b cm Area = lb Case 1 - Length = l and Breadth = b - 4 Area = l(b - 4) = lb - 4l So, lb - {lb - 4l} = 72 4l = 72, therefore l = 18 cm Case 2 - Length = (l - 4) and Breadth = b Area = (l - 4)b = lb - 4b So, lb - {lb - 4b} = 64 4b = 64, therefore b = 16 cm Now, Perimeter = 2 (l + b) = 2 (18 + 16) = 2 x 34 = 68 cm
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