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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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