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What is the maximum area of the rectangle formed by bending a wire of length 24cm ?

A36 cm²

B30 cm²

C42 cm²

D46 cm²

Answer:

A. 36 cm²

Read Explanation:

P=24 2(l+b) = 24 l+b = 24/2 =12 l = x b=12 - x area = lb x(12-x) 12x - x2 differentiate 12 - 2x F'(x) = 0 12-2x=0 12=2x x=12/2=6 length = 6 breadth = 12 - 6 = 6 area = 6x 6 = 36cm²


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