Respuesta :

area = (n * side length * apothem) / 2
where "n" is the number of sides
area = (10 * 8 * 12.3) / 2
area = (984) / 2
area = 492 square yards


Ver imagen wolf1728

The area of a regular decagon will be 492 inch³. The area of the decagon is the product of the perimeter of the decagon and apothem.

What is a decagon?

Decagon is a geometrical figure with the side equal to 10. The length of the each side is same arranged around a circle.

The regular decagon is found by the formula below;

Area of decagon =   perimeter of decagon × apothem

The perimeter of the decagon is the sum of its all sides;

[tex]\rm P = 10 \times 8 \\\\ P= 80 \ yards[/tex]

The area of the regular decagon is;

[tex]\rm A = \frac{1}{2} \times 80 \times 12.3 \\\\\ A = 492 \ inch^2[/tex]

Hence the area of a regular decagon will be 492 inch².

To learn more about the decagon refer to the link;

https://brainly.com/question/27314677

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