What is the length of the missing leg?

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Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.

The midpoints of the sides of the large square are joined to form a smaller square. what is the area of the smaller square