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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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