2014 AMC 12B Problem 5
Attempt Problem 5 of the 2014 AMC 12B below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2014 AMC 12B solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
5.
Doug constructs a square window using equal-size panes of glass, as shown. The ratio of the height to width for each pane is and the borders around and between the panes are inches wide. In inches, what is the side length of the square window?
Answer: A
Small hint:
Let each pane be wide and tall
Big hint:
The window’s width equals its height
Solution:
Let each pane have width and height The window is panes wide with vertical borders, so its width is
It is panes tall with horizontal borders, so its height is
Setting width equal to height gives so and the side length is
Thus, the correct answer is A.
Problem 5 in other years
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