What is the area of a regular decagon having an apothem of 20 m and a side length of 13 m?Question 55Select one:a.3077.7 m2b.2600 m2c.30777 m2d.1300 m2
Question
What is the area of a regular decagon having an apothem of 20 m and a side length of 13 m?
Question 55
Select one:
- a. 3077.7 m²
- b. 2600 m²
- c. 30777 m²
- d. 1300 m²
Solution
To find the area of a regular decagon, you can use the formula:
Area = 1/2 * Perimeter * Apothem
First, find the perimeter of the decagon. Since a decagon has 10 sides and each side is 13 m, the perimeter is 10 * 13 = 130 m.
Next, multiply the perimeter by the apothem (20 m):
130 m * 20 m = 2600 m^2
Finally, divide this result by 2 to find the area:
2600 m^2 / 2 = 1300 m^2
So, the area of the decagon is 1300 m^2. The correct answer is d. 1300 m^2.
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