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Question

In the figure below, if DE = 2DC and the area of parallelogram ABCD = 20 square units, find the area of ΔDBC (in square units).


A

10

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B

4

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C

5

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D

6

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Solution

The correct option is C

5


Area of the parallelogram ABCD=DE×EF=20 square units

DE=2DCDC=DE2

Area of ΔDBC=12×DC×EF=12×DE2×EF=14×DE×EF=(14×20) square units = 5 square units


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