In the diagram below, what is the ratio of the area of the equilateral triangle to the area of the square? Express your answer with simplified radicals.

*Solution to yesterday’s problem:*

Jemma has these socks in her drawer:

- 8 pink
- 8 navy with yellow stripes
- 8 black with polka-dots
- 8 purple/green argyle

So logically, to find the minimum number of socks to pick out randomly to have two socks of *different* colors, we should look at the worst case scenario: if the first 8 socks are all the same color. Then the next sock must be a different color. So Jemma must pick *9 socks* to ensure that she has two different socks.

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*Related*

Dress principles Hm?