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larisa [96]
2 years ago
8

Decagon, a=22 m, s=14.3 m

Mathematics
1 answer:
abruzzese [7]2 years ago
8 0

The area of the decagon is 1573.39 square meters

<h3>How to determine the area of the decagon?</h3>

The given parameters are:

  • Side length, s = 14.3 m
  • Apothem, a = 22 m

The area of a decagon is calculated using:

A = \frac 52s^2\sqrt{5 + 2\sqrt 5

Substitute 14.3 for s

A = \frac 52 * 14.3^2\sqrt{5 + 2\sqrt 5

Evaluate the exponent

A = \frac 52 * 204.49\sqrt{5 + 2\sqrt 5

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:

brainly.com/question/24487155

#SPJ1

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