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find the area of the regular pentagon

Find The Area Of The Regular Pentagon class=

Sagot :

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]