In the given figure ABCD is a parallelogram- If area of parallelogram ABCD - 1728 square units- then area BEC - square units-A- 1728 square unitsB- 864 square unitsC- 432 square unitsD- 400 square units

The correct option is B 864 square units nbsp; nbsp; nbsp; If a triangle and a parallelogram are on the same base and between the same parall ...

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Byju's Answer

Standard IX

Mathematics

A Parallelogram and a Triangle between the Same Parallels

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.

1728 square units

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864 square units

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432 square units

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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 = $\frac{1}{2}$ × Area parallelogram ABCD

Area $△$ BEC = $\frac{1}{2}$ × 1728

= 864 square units

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

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

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