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Australian AMC 2010 - Intermediate Question 14

AMC AUSTRALIA · Australian AMC 2010 - Intermediate

Question 14

Three rectangles are lined up horizontally as shown. The lengths of the rectangles are 2 cm, 4 cm and 8 cm respectively. The heights are 1 cm, 2 cm and 4 cm respectively. A straight line is drawn from the top right-hand corner of the largest rectangle to the bottom left-hand corner of the smallest rectangle.

Question illustration

What is the area, in square centimetres, of the shaded region?

**Source annotation note:** Faint handwritten marks in the supplied image are preserved for fidelity. They are not printed givens or an official answer.
  1. 10
  2. 12
  3. 14
  4. 18
  5. 21