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Question

In the given figure, ABCD is a rectangle and ABEF is a parallelogram. Given AB = 16 cm, AD = 10 cm. Find ar(ΔABF)


A
80cm2
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B
180cm2
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C
160cm2
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D
90cm2
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Solution

The correct option is A 80cm2
ar(rectangleABCD)=AB×AD
=16cm×10cm
=160cm2
Since, Parallelograms ABCD and ABEF are lying on same base and between same parallels.
ar(ABEF)=ar(ABCD)
=160cm2
Now, ar(ΔABF)=12ar(ABEF)
=12×160cm2
=80cm2
ar(ΔABF)=80cm2
Hence, the correct answer is option (A).

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