Lesson: Data Sufficiency Challenging - 19t01

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?

Countinue

Remember that in Data Sufficiency, we can’t trust the diagram to represent the spatial relationships accurately, so we have to go by the explicit info we’re given. First, we know from the question stem that the two figures are squares and that they have sides of length 4. What we can’t tell from the diagram is the true extent to which the squares overlap. It seems in the diagram that the overlap makes a square, but for all we know the "true" diagram might look like this:

So, we can’t assume anything about the lengths of the segments that make up the overlapping part. But, because we’re being asked to find the area of the overlapping part, we’d need to know the precise lengths of those segments. Now we know what to look for as we evaluate the statements.

Countinue

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