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AMC 12 2001 Problem 22

  • Paper

In rectangle ABCDABCD, points FF and GG lie on ABAB so that AF=FG=GBAF=FG=GB and EE is the midpoint of DC‾\overline{DC}. Also, AC‾\overline{AC} intersects EF‾\overline{EF} at HH and EG‾\overline{EG} at JJ. The area of the rectangle ABCDABCD is 7070. Find the area of triangle EHJEHJ.

(A) 52(B) 3512(C) 3(D) 72(E) 358\text{(A) }\frac {5}{2} \text{(B) }\frac {35}{12} \text{(C) }3 \text{(D) }\frac {7}{2} \text{(E) }\frac {35}{8}

Dataset text AMC 12 2000 to 2025. Quoted with source.

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C

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