Question
The ratio of length to breadth of a rectangle is 8:5.
When the length and breadth of the rectangle is increased by 20% and decreased by 50% respectively, then its perimeter becomes 363 cm. Find the original area (in cm2) of the rectangle.Solution
Let the original length and breadth of the rectangle be 8x cm and 5x cm, respectively According to the question, 2 × {(1.2 × 8x) + (0.5 × 5x)} = 363 Or, 9.6x + 2.5x = 363 Or, x = 363/12.1 = 15 Therefore, original area of the rectangle = 8x × 5x = 40x2 = 9000 cm2
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