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Thursday, September 13, 2012

— How Many Squares – Speed Post — — Tech goodness in under 5 seconds! —

So I saw this puzzler on Facebook:

How many squares are in the diagram below.
All the answers I saw at the time were way off, so I thought I'd post the solution. I put an X through each square in several pictures so you can see them easier. The intersection of the X is the center of the square.

First Set 
Total so far: 1
Second Set
Total so far: 1 + 1 = 2
Third Set

Total so far: 2 + 4 = 6
Fourth Set

Total so far: 6 + 4 = 10
Fifth Set

Total so far: 10 + 4 = 14
Sixth Set

Total so far: 14 + 16 = 30

At this point all of the squares are counted except for those that make up the two small inner squares, so let's continue with those.

Seventh Set

Total so far: 30 + 2 = 32
Eighth Set

Total so far: 32 + 8 = 40

And that's all of them for a total of 40 squares. With over a million comments, I'm certain many have answered it correctly by now, but I doubt they explained it as well. :) And, yes, I know this Speed Post was longer than 10 seconds.

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