Last Updated on May 9, 2023
GMAT OFFICIAL GUIDE DS
Solution:
We are given triangle ABC, with a base of AC and a height of BD. We can sketch the diagram below:
We need to determine the area of triangle ABC.
Area of triangle ABC = ½(base x height)
Area of triangle ABC = ½(base AC x height BD)
Statement One Alone:
The product of BD and AC is 20.
Since the product of BD and AC is 20 we know:
Area of triangle ABC = ½(20)
Area of triangle ABC = 10
Statement one is sufficient to answer the question. We can eliminate answer choices B, C, and E.
Statement Two Alone:
x = 45
Since we do not have any values for BD or AC, statement two is not sufficient to answer the question.
Answer: A