1997 PMWC Problems/Problem I5

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Problem

Two squares of different sizes overlap as shown in the given figure. What is the difference between the non-overlapping areas?

1997 PMWC individual 5.png

Solution

Let the area of the non-shaded region of the 6 by 6 square by A. Let the area of the non-shaded region of the 4 by 4 square by B. Let the shaded area be C.

$A+C=36$

$B+C=16$

$(A+C)-(B+C)=A-B=\boxed{20}$

See also