AMC 10 Step by Step
Log inSign up
Printable

2023 AMC 10B Problem 25

Include the solutionBack to the problem
2023 AMC 10B Problem 25AMC 10 Step by Step
Name:                             Date: September 13, 2026
Angles & Polygons · difficulty 5 of 5 · about 8 min · position P21-25

A regular pentagon with area 1+51+\sqrt5 is printed on paper and cut out. All five vertices are folded to the center of the pentagon, creating a smaller pentagon. What is the area of the new pentagon?

  1. A)

    4−54-\sqrt{5}

  2. B)

    5−1\sqrt{5}-1

  3. C)

    8−358-3\sqrt{5}

  4. D)

    5+12\frac{\sqrt{5}+1}{2}

  5. E)

    2+53\frac{2+\sqrt{5}}{3}

Working