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Question

AE BC and D is the mid-point of BC. If area ( ABC) = 84 square cm, what is area of BED?


A

21 square cm

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B

42 square cm

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C

63 square cm

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D

84 square cm

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Solution

The correct option is B

42 square cm


If we draw EC, we can see that ABC and BEC will have equal area. Every parameter is same except the length of the base.

Base length (ABC) = 2 × Base length (BEC)

So, Area (ABC) = 2 × Area (BEC)

Area (BEC) = 42 square cm


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