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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?

Image: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

1997 PMWC (Problems)
Preceded by
Problem I3
Followed by
Problem I5
I: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
T: 1 2 3 4 5 6 7 8 9 10
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