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2014 AMC 10B Question 5

AMC10 · 2014 AMC 10B

Question 5

Doug constructs a square window using $ 8 $ equal-size panes of glass, as shown. The ratio of the height to width for each pane is $ 5 : 2 ,$ and the borders around and between the panes are $ 2 $ inches wide. In inches, what is the side length of the square window?

Question illustration
  1. $ \ 26 $
  2. $ \ 28 $
  3. $ \ 30 $
  4. $ \ 32 $
  5. $ \ 34 $