2013 AMC 10B Problems/Problem 15
Problem
A wire is cut into two pieces, one of length and the other of length . The piece of length is bent to form an equilateral triangle, and the piece of length is bent to form a regular hexagon. The triangle and the hexagon have equal area. What is ?
Solution
Using the formulas for area of a regular triangle and regular hexagon and plugging and into each equation, you find that . Simplifying this, you get
See also
2013 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 14 |
Followed by Problem 16 | |
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All AMC 10 Problems and Solutions |