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IMAS 2014 — Upper Primary Grades 5–6 — Round 1 Question 17

IMAS · IMAS 2014 — Upper Primary Grades 5–6 — Round 1

Question 17

ABCD is a square of side length 10 cm. The segment BC is fixed. The segment AD moves in the plane to the segment A′D′ so that the lengths AB, DC and AD do not change. What is the area, in cm² , of the shaded region in the diagram when the segment A′D′ intersects the segment CD at its midpoint G?

Question illustration
  1. 50
  2. $\frac{50\pi}{3}$
  3. 60
  4. 100
  5. $\frac{100\pi}{3}$