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AMO · 2027 · Grades 6-7 · Self-study SET 31 Question 4

AMO

Question 4

In triangle ABC, point D lies on side AC with $AD=4$ and $CD=7$. Triangle ABD has area 20 square units. What is the area of triangle ABC, in square units?

Question illustration

**Input:** Choose one option.
  1. 110
  2. 220
  3. 55
  4. 165
  5. 275