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IMC 2013 — Keystage 3 (IWYMIC) — individual Question 2

xIMC · IMC 2013 — Keystage 3 (IWYMIC) — individual

Question 2

A square house thirty metres on each side occupies the northeast corner of a square farm one hundred twenty metres on each side. Two V-shaped fences divide the remaining land into three equal-area V-shaped plots, as shown. The two perpendicular segments of each fence have equal lengths. Find the total length of the shorter fence.

Question illustration