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2021 AMC 10D Question 13

AMC10 · 2021 AMC 10D

Question 13

A square with side length $3$ is inscribed in an isosceles triangle with one side of the square along the base of the triangle. A square with side length $2$ has two vertices on the other square and the other two on sides of the triangle, as shown. What is the area of the triangle?

Question illustration
  1. $ 19\frac14 $
  2. $ 20\frac14 $
  3. $ 21 \frac34 $
  4. $ 22\frac12 $
  5. $ 23\frac34 $