The figure shows parallelogram ABCD and

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[GMAT math practice question]

The figure shows parallelogram ABCD and point E on line AD. What is the ratio of \(\triangle ABE\ :\ \triangle DCE\) ?

2.11DS.png

1) The area of ABCD is 50.
2) AE : ED = 3 : 2

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The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question. We should simplify conditions if necessary.

Since triangles ABE and DCE have the same height, we have △ABE : △DCE = AE : ED.
Thus, condition 2) is sufficient.

Condition 1)
Since we don’t know AE : ED, condition 1) is not sufficient.

Therefore, B is the answer.
Answer: B