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Question

The area of a rectangle will be maximum for the given perimeter, when rectangle is a

A
Parallelogram
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B
Trapezium
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C
Square
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D
None of these
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Solution

The correct option is D Square
Let sides are a and b and perimeter=2p
2(a+b)=2p
(a+b)=p
A=area=ab=a(pa)=paa2
dAda=p2a=0
2a=p
a=p/2
b=p/2
hence
a=b (square)

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