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FMO 2026 - Grade 8 - National - Paper 03 Question 18

FMO · FMO 2026 - Grade 8 - National - Paper 03

Question 18

An architect draws a room with square corners at A, B, C, D, E, and F. The total area of the room is 280 m² and AF = 10 m, CD = 20 m, EF = ED. He wants to build a wall from F to M creating two rooms of equal area. Find the distance between B and M.

Question illustration



Source wording clarification: “square corners” is interpreted as perpendicular boundary segments. In the drawn L-shaped room, F is a concave corner with interior angle 270°, rather than an interior right angle.
  1. 12
  2. 40/3
  3. 13
  4. 50/3
  5. 15