lillyfuerst4 lillyfuerst4

01-05-2022
Mathematics

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find the area of the regular pentagon

find the area of the regular pentagon class=

Respuesta :

igoroleshko156 igoroleshko156

01-05-2022

Answer:

[tex]A = 43.1\ cm^2[/tex]

Step-by-step explanation:

Step 1: Determine the area

[tex]A=\frac{1}{4}\sqrt{5(5+2\sqrt{5})}*a^2[/tex]

[tex]A=\frac{1}{4}\sqrt{5(5+2\sqrt{5})}*(5\ cm)^2[/tex]

[tex]A = \frac{1}{4}*6.8819*25\ cm^2[/tex]

[tex]A = 43.1\ cm^2[/tex]

Answer: [tex]A = 43.1\ cm^2[/tex]

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