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Q.

Area of the parallelogram ABCD=60 cm2.  From the figure, find the area of the parallelogram ABEF.


F:New DownloadQ.72 (A).jpg

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a

 30 cm2

b

60 cm2

c

40 cm2

d

None of the above 

answer is A.

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Detailed Solution

Given:
Parallelogram ABCD area=60 cm2.  In the given figure, we have,
ABEF
ADBC
EFAF
Now, two parallelograms have same area when theory are on same base and located between same parallels. In our case both parallelograms have same area.
So, triangle ABC area
A=12×60 cm2
A=30 cm2Hence, option 1 is correct.
 
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