If the perimeter of a regular octagon is 64 cm, what is the length of each side?

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Question: If the perimeter of a regular octagon is 64 cm, what is the length of each side? (2023)

Options:

Correct Answer: 8 cm

Exam Year: 2023

Solution:

The perimeter of a regular octagon is 8 times the length of one side. Therefore, each side is 64 cm / 8 = 8 cm.

If the perimeter of a regular octagon is 64 cm, what is the length of each side? (2023)

If the perimeter of a regular octagon is 64 cm, what is the length of each side? (2023)

Step 1: Understand that a regular octagon has 8 equal sides.
Step 2: Know that the perimeter is the total length around the shape, which is the sum of all the sides.
Step 3: Since all sides are equal in a regular octagon, the perimeter can be calculated as 8 times the length of one side.
Step 4: Use the formula: Perimeter = 8 × (length of one side).
Step 5: We are given that the perimeter is 64 cm.
Step 6: Set up the equation: 64 cm = 8 × (length of one side).
Step 7: To find the length of one side, divide the perimeter by 8: length of one side = 64 cm / 8.
Step 8: Calculate the result: length of one side = 8 cm.

Perimeter of a Regular Polygon – The perimeter of a regular polygon is calculated by multiplying the number of sides by the length of one side.
Regular Octagon Properties – A regular octagon has 8 equal sides and angles.