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IKMC 2017 — Grades 5–6 Question 18

IKMC · IKMC 2017 — Grades 5–6

Question 18

Rafael has three squares. The first one has side length 2 cm. The second square has side length 4 cm and one of its vertices is placed at the centre of the first square. The last square has side length 6 cm and one of its vertices is placed at the centre of the second square, as shown in the picture. (All the angles are right angles).

Question illustration

What is the area of the figure, in $\text{cm}^2$?
  1. 32
  2. 51
  3. 27
  4. 16
  5. 6