Question

Decagon, a=22 m, s=14.3 m

Answer 1

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:

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

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

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