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IKMC 2027 - Grades 7-8 - Self-study SET 1 - Thematic Batch 3 Question 11

IKMC · IKMC 2027 - Grades 7-8 - Self-study SET 1 - Thematic Batch 3

Question 11

Two unit squares of side length 1 share a vertex, as shown. One side of one square lies along a diagonal of the other square. What is the area of the grey region?

Question illustration
  1. $\sqrt2-1$
  2. $\frac{\sqrt2}{2}$
  3. $\frac{\sqrt2+1}{2}$
  4. $\sqrt2+1$
  5. $\sqrt3-\sqrt2$