The perimeter of a regular decagon is 164 cm larger than the perimeter of a square with a side of 34 cm.
| January 12, 2021 | education
The perimeter of a regular decagon is 164 cm larger than the perimeter of a square with a side of 34 cm. What is the side of a regular decagon?
The perimeter of a regular decagon is 164 centimeters greater than the perimeter of the square.
Side a of the square is 34 centimeters.
We calculate the perimeter of the square using the formula P = 4a:
P = 4 * 34 = 136 centimeters.
Find the perimeter of the decagon:
136 + 164 = 300 centimeters.
Let’s calculate the size of one side of the decagon:
300: 10 = 30 centimeters.
Answer: Each side of a regular decagon is 30 centimeters long.
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