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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

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 =

12 × a r e a of parallelogram ABCD

...... (i)
Now calculating the area of ∆ABD, considering equation (i),
Area of ∆ABD =

12 × a r e a of parallelogram ABCD

Area of ∆ABD=

12 × 80

Area of ∆ABD=

40 {cm}^{2}

Therefore, area of ∆ABD is

40 {cm}^{2}

.

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