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Question

In a given figure, BE is a median of â–³ABD. If the area of parallelogram ABCD is 24 cm2. Then the area of â–³ABE is:


A

6 cm2

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B

8 cm2

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C

12 cm2

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D

10 cm2

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Solution

The correct option is A

6 cm2


In a parallelogram, triangle between the same parallels and on the same base have area which is equal to the half of that of parallelogram.

So, area of ABD=12 area of (ABCD)

BE is a median
Area of ABE=12area of ABD (Median divides the triangle into 2 equal areas)

Therefore, area of ABE
=14 area of (ABCD)=14×24=6 cm2


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