Area of the parallelogram ABCD=800 sq. units. Find the area of △AFC. Here, E and F are the mid points of AB and AE respectively.
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50 sq. units75 sq. units100 sq. units125 sq. units
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Answer:
Point E and F are the mid points of AB and DC.
∴ar(FCBE)=
2
1
ar(ABCD)⟶(1)
△ABC and parallelogram ABCD are on the same base and lie between the same parallel AD ξ BC
∴ar(ABC)=
2
1
ar(ABCD)⟶(2)
From (1) and (2)
∴ar(FCBE)=ar(ABC)
⇒
ar(ABC)
ar(FCBE)
=1
∴ The ratio is 1:1.
Hence, the answer is 1:1.
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