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IKMC 2027 - Grades 9-10 - Self-study SET 6 - Thematic Batch 3 Question 20

IKMC · IKMC 2027 - Grades 9-10 - Self-study SET 6 - Thematic Batch 3

Question 20

Two square pieces of card have the same size, one white and one black. Alex places the white card on the black card and rotates it through 45°, exposing four black triangles as shown. Their total area is 4 cm². What is the side length of each square, in centimetres?

Question illustration
  1. 4
  2. 2 + √2
  3. 2 + 2√2
  4. 4 + √2
  5. 4 + 2√2