The length of a rectangle is half of the breadth. If the length is increased by 5 m and breadth is decreased by 5 m, the difference between the new area and old area becomes 25 sq. m. Find the length of the rectangle.

Correct answer: 10

Solution

Length = l, breadth = 2l. Old area = 2l². New length = l+5, new breadth = 2l-5. New area = (l+5)(2l-5) = 2l²-5l+10l-25 = 2l²+5l-25. Difference = (2l²+5l-25)-(2l²) = 5l-25 = 25 → 5l = 50 → l = 10 m.

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