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Re: In the figure, ABCD and BECD are parallelograms. [#permalink]
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#GREpracticequestion In the figure, ABCD and BECD are parallelograms.jpg


In the figure, ABCD and BECD are parallelograms.

Quantity A
Quantity B
Area of parallelogram ABCD
Area of parallelogram BECD


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



We know that a diagonal of a parallelogram cuts the parallelogram into two triangles of equal area.

Since BD is a diagonal of parallelogram ABCD, the area of the parallelogram equals twice the area of either of the two equal triangles ∆ABD or ∆DBC.

Hence, Column A = 2(area of ∆DBC). Similarly, since BC is a diagonal of parallelogram BECD, the area of the parallelogram BECD is 2(area of ∆DBC).

Thus, both columns equal 2(area of ∆DBC), and the answer is (C)
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Re: In the figure, ABCD and BECD are parallelograms. [#permalink]
Since the base and height of both the parallelograms is same, their are is same.
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Re: In the figure, ABCD and BECD are parallelograms. [#permalink]
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