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When the length of a rectangle is decreased by 10 cm and the breadth is increased by 15 cm, it becomes a square. What is the area of the rectangle, if its perimeter is 150 cm?
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Answer:
1250 cm²
Step-by-step explanation:
l - 10 = w + 15
l + w = 150/2 = 75
l + w = 75 ..... (1)
l - w = 25 ..... (2)
(1) + (2) ===> 2l = 100 ===> l = 50 cm and w = 25 cm
A = l × w = 50 × 25 = 1250 cm²
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