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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]