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Australian AMC 2017 - Junior Question 21

AMC AUSTRALIA · Australian AMC 2017 - Junior

Question 21

Two rectangles overlap to create three regions of equal area. The original rectangles are 6 cm by 15 cm and 10 cm by 9 cm as shown. Each side of the smaller shaded rectangle is a whole number of centimetres. What is its perimeter, in centimetres?

Question illustration
  1. 24
  2. 28
  3. 30
  4. 32
  5. 36