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Q.

If in the given figure, area of ‖ gm ABCD is 80 cm2, then the ar(‖gm ABEF) will be equal to ____cm2.

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Detailed Solution

It is given that area of parallelogram ABCD is 80 cm2..
Question Image

Question Image

Area of ‖ gm ABCD is 80 cm2, then the ar(‖gm ABEF) will be equal to 80 cm2.
We know that when a parallelogram and a triangle have the same base and lie between the same parallel lines, then the area of the triangle is half the area of the parallelogram.
Consider the parallelogram ABCD and ABEF from the given figure.
Therefore, area of Parallelogram ABCD=Area of Parallelogram ABEF... (i)
Calculating the area of parallelogram ABEF, considering equation (i):
Area of Parallelogram ABCD=Area of Parallelogram ABEF
Since, Area of parallelogram ABCD =

80 c m 2

...(given)
Therefore, area of parallelogram ABEF =

80 c m 2

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If in the given figure, area of ‖ gm ABCD is 80 cm2, then the ar(‖gm ABEF) will be equal to ____cm2.