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Australian AMC 2015 - Senior Question 13

AMC AUSTRALIA · Australian AMC 2015 - Senior

Question 13

The diagram indicates a pattern of paving blocks that are laid diagonally across a rectangular floor measuring $L\text{ cm}\times 200\text{ cm}$. Each block measures $8\text{ cm}\times 4\text{ cm}$, and any two blocks that touch overlap by 5 cm.

What is the value of $L$?

Question illustration
  1. 253
  2. 155
  3. 400
  4. 250
  5. 158