Question
If the area of parallelogram ABCD is 54 square units, what is the area of parallelogram ABEF? [Given: O and P are the midpoints of AD and BC respectively]
[4 MARKS]
Answer: Option A
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Construction: 1 Mark
Application: 2 Marks
Answer: 1 Mark
O and P are the midpoints of AD and AC respectively.
So, FR=DQ2
Also, AB || CD and AB || EF. This implies that EF || CD.
Area of ABCD = AB×DQ
Area of ABEF=AB×FR=AB×(DQ2)=12×(Area of ABCD)=12×54=27 square units.
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