What is the area of the region in which squares ABCD
and EFGH overlap?
1) F bisects BC
2) 
- 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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