2023 AMC 10 B

Complete problem set with solutions and individual problem pages

Problem 25 Hard

A regular pentagon with area \sqrt { 5 } + 1 is printed on paper and cut out. The five vertices of pentagon are folded into the center of the pentagon, creating a smaller pentagon. What is the area of the new pentagon? (2023 AMC10B Q25)

  • A.

    4 - \sqrt { 5 }

  • B.

    \sqrt { 5 } - 1

  • C.

    8 - 3 \sqrt { 5 }

  • D.

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

  • E.

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

Answer:B
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