¶ 2014 AMC 10B Problem 5
Problem:
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 Choices:
A.
B.
C.
D.
E.
Solution:
Denote the height of a pane by and the width by . Then the square window has height inches and width inches. Solving gives . The side length of the square window is inches.
The problems on this page are the property of the MAA's American Mathematics Competitions