Difference between revisions of "2022 AMC 12B Problems/Problem 25"
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written as <math>m \sqrt{n} + p</math>, where <math>m</math>, <math>n</math>, and <math>p</math> are integers and <math>n</math> is not divisible by the square of any prime. | written as <math>m \sqrt{n} + p</math>, where <math>m</math>, <math>n</math>, and <math>p</math> are integers and <math>n</math> is not divisible by the square of any prime. | ||
What is <math>m+n+p</math>? | What is <math>m+n+p</math>? | ||
| + | |||
| + | <math>\textbf{(A) } -12 \qquad | ||
| + | \textbf{(B) }-4 \qquad | ||
| + | \textbf{(C) } 4 \qquad | ||
| + | \textbf{(D) }24 \qquad | ||
| + | \textbf{(E) }32</math> | ||
==Video Solution== | ==Video Solution== | ||
Revision as of 21:23, 18 November 2022
Problem
Four regular hexagons surround a square with side length 1, each one sharing an edge with the square,
as shown in the figure below. The area of the resulting 12-sided outer nonconvex polygon can be
written as 
, where 
, 
, and 
are integers and is not divisible by the square of any prime.
What is 
?
Video Solution
~Steven Chen (Professor Chen Education Palace, www.professorchenedu.com)
See Also
| 2022 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 24 |
Followed by Last problem |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
