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2009 AMC 8 Question 18

AMC8 · 2009 AMC 8

Question 18

The diagram represents a $7$-foot-by-$7$-foot floor that is tiled with $1$-square-foot shaded tiles and unshaded tiles. Notice that the corners have unshaded tiles. If a $15$-foot-by-$15$-foot floor is to be tiled in the same manner, how many unshaded tiles will be needed?

Question illustration
  1. $49$
  2. $57$
  3. $64$
  4. $96$
  5. $126$