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2022 AMC 12B Question 13

AMC12 · 2022 AMC 12B

Question 13

The diagram below shows a rectangle with side lengths $4$ and $8$ and a square with side length $5.$ Three vertices of the square lie on three different sides of the rectangle, as shown. What is the area of the region inside both the square and the rectangle?

Question illustration
  1. $15\dfrac18$
  2. $15\dfrac38$
  3. $15\dfrac12$
  4. $15\dfrac58$
  5. $15\dfrac78$