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Standard VIII
Mathematics
Relation between Area of Triangle and Parallelogram with Common Base and between Same Parallel Lines
In the given ...
Question

In the given figure ABCD is a parallelogram. If area of parallelogram ABCD = 1728 square units, then area △ BEC = ____ square units.


A
432 square units
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B
864 square units
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C
1728 square units
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D
400 square units
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Solution

The correct option is B 864 square units

If a triangle and a parallelogram are on the same base and between the same parallels, then the area of the triangle is equal to half the area of the parallelogram.

So, Area △ BEC = 12 × Area parallelogram ABCD

Area △ BEC = 12 × 1728

= 864 square units

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Standard VIII Mathematics
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