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Q.

If in the given figure, area of parallelogram ABCD is 80 cm2 then the ar(∆ABD) will be equal to ____cm2.


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Detailed Solution

It is given that area of parallelogram ABCD is 80 cm2.
Question Image  Area of parallelogram ABCD is 80 cm2 then the ar(∆ABD) will be equal to 40 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.
Considering ∆ABD and parallelogram ABCD from the given figure.
Therefore, area of ∆ABD =  1 2 ×area of parallelogram ABCD   ...... (i)
Now calculating the area of ∆ABD, considering equation (i),
Area of ∆ABD = 1 2 ×area of parallelogram ABCD   Area of ∆ABD= 1 2 ×80     Area of ∆ABD= 40cm2
Therefore, area of ∆ABD is 40cm2 .
 
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