Difference between revisions of "2023 AMC 12B Problems/Problem 25"
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| + | ==Problem== | ||
| + | A regular pentagon with area <math>\sqrt{5}+1</math> is printed on paper and cut out. The five vertices of the pentagon are folded into the center of the pentagon, creating a smaller pentagon. What is the area of the new pentagon? | ||
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| + | <math>\textbf{(A)}~4-\sqrt{5}\qquad\textbf{(B)}~\sqrt{5}-1\qquad\textbf{(C)}~8-3\sqrt{5}\qquad\textbf{(D)}~\frac{\sqrt{5}+1}{2}\qquad\textbf{(E)}~\frac{2+\sqrt{5}}{3}</math> | ||
Revision as of 19:47, 15 November 2023
Problem
A regular pentagon with area 
is printed on paper and cut out. The five vertices of the pentagon are folded into the center of the pentagon, creating a smaller pentagon. What is the area of the new pentagon?
