Geometry Problems, Math Problems

Problem of the Day: 1/14/13

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.

20130114-072244.jpg

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.

Advertisements

One thought on “Problem of the Day: 1/14/13

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s