AMC 10 Step by Step
2000 AMC 10Problem 12P11-15~3 minPrint

Figures 00 , 11 , 22 , and 33 consist of 11 , 55 , 1313 , and 2525 nonoverlapping unit squares, respectively. If the pattern were continued, how many nonoverlapping unit squares would there be in figure 100?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site. Also appeared as 2000 12 #8.