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IMAS 2021–2022 Junior — Round 1 Question 10

IMAS · IMAS 2021–2022 Junior — Round 1

Question 10

In the diagram below, $ABCD$ is a square with side length 12 cm. Point $P$ is on side $AB$ such that $AP:PB=1:3$, point $L$ is on side $CD$ such that $CL=DL$ and point $N$ is on side $DA$ such that $DN:NA=2:1$. What is the area, in cm², of the triangle $PNL$?

Question illustration
  1. 24 cm²
  2. 30 cm²
  3. 48 cm²
  4. 90 cm²
  5. 144 cm²