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Question

If the area of parallelogram PQRS is 32 cm2 and line XY || AS ,then the area of triangle ACS is____


A

32

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B

16

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C

8

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D

Data Insufficient

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Solution

The correct option is B

16


ΔAPS and parallelogram PQRS are on equal bases and same parallels.

So, Area (ΔAPS) = 12 Area (PQRS) = 16 cm2

Triangle APS and triangle ACS are on equal base and same parallels AS and XY

So, Area (ΔACS) = Area (ΔAPS) = 16 cm2


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