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.

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.

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.