Lesson: Data Sufficiency Challenging - 19t03

Multiple Steps: Example 1

Take a look at this question:

[Page 19 of 24]

What is the area of the region in which squares ABCD and EFGH overlap?

1) F bisects BC

2)

What information does the diagram and the question stem provide? Consider answers to the following questions and then click Continue.

  • What do we know about the two figures and the overlapping area?
  • What are we unable to determine about the two figures and the overlapping area?

Review Statement 1 below. Is it sufficient or insufficient? Select the correct answer and then click Continue.

1) EF bisects BC

  Sufficient Insufficient    

Countinue

From Statement 1, we know that EF cuts BC into two segments of length 2. But this gives us only the length of one side of the quadrilateral overlap: the bottom half of BC. This is helpful, but we’d need more than this to calculate the area. Remember, just because EF bisects BC, that doesn’t mean that BC also bisects EF. We don’t know what portion of EF lies on either side of BC. Because of this, we can’t figure out the area of the overlap and Statement 1 is insufficient.

Let’s look at Statement 2.

Counntinue

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