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IMAS 2011 — Junior — Round 1 Question 13

IMAS · IMAS 2011 — Junior — Round 1

Question 13

The given diagram shows how a square $ABCD$ with side length 40 may be dissected into six pieces by three straight cuts $AC$, $BD$ and $EF$, where $E$ and $F$ are the respective midpoints of $AB$ and $BC$. The pieces are then rearranged to form the given shape. What is the total area, in square centimetres, of the shaded part of the given shape?

Question illustration
  1. $200$
  2. $400$
  3. $600$
  4. $800$
  5. $1000$