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MathNet 2022-part-05 — 197 problems (EN–VI) Question 6

Math Olympiad Vault · MathNet 2022-part-05 — 197 problems (EN–VI)

Question 6

The diagonals of the squares $ABCD$ and $BEFG$ are $8~\mathrm{cm}$ and $11~\mathrm{cm}$ long, respectively. The point $P$ is the intersection of the diagonals of the square $BEFG$ (see the figure). How many square centimetres is the area of the triangle $APF$?

(A) 8
(B) 9
(C) 10
(D) 11
(E) 12

Question illustration