The area of the decagon is 1573.39 square meters
How to determine the area of the decagon?
The given parameters are:
- Side length, s = 14.3 m
- Apothem, a = 22 m
The area of a decagon is calculated using:
[tex]A = \frac 52s^2\sqrt{5 + 2\sqrt 5[/tex]
Substitute 14.3 for s
[tex]A = \frac 52 * 14.3^2\sqrt{5 + 2\sqrt 5[/tex]
Evaluate the exponent
[tex]A = \frac 52 * 204.49\sqrt{5 + 2\sqrt 5[/tex]
Evaluate the product and the roots
A = 1573.39
Hence, the area of the decagon is 1573.39 square meters
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