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Question

ABCD is a rectangle such that CAB=60 and AC=a units. The area of rectangle ABCD is 32a2

A
True
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B
False
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Solution

The correct option is B False

In ΔABC, right-angled at B,
sin 60=BCAC32=BCaBC=32a
and cos 60=ABAC12=ABaAB=a2
Area of rectangle
=AB×BC=a2×32a=3a24

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