Answered

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Decagon, a=22 m, s=14.3 m

Sagot :

MrRoyal

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

Read more about areas at:

https://brainly.com/question/24487155

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