SOLUTION: The length of the sides of a square and the sides of a regular octagon are the same. The area of the square is 196 square centimeters. What is the perimeter of the octagon? Express

Question 320920: The length of the sides of a square and the sides of a regular octagon are the same. The area of the square is 196 square centimeters. What is the perimeter of the octagon? Express your answer in centimeters.
Answer by GreatDane(2) (Show Source): You can put this solution on YOUR website!
According to your problem, the sides of both the octagon and the square are the same length.
Let x = the length of each side.
It does not matter to which polygon x belongs to since all side lengths are equal.
The perimeter ( length around ) the square is 196. There are four sides to a square. You can write an equation to determine the length of each side.
4x = 196
Divide both sides by 4 to find the length of one side and solve for x.
x = 49
The octogon has 8 sides. Because it is a regular octagon, its side lengths are all the same.
To find the perimeter of the octagon, multiply x by 8.
8x = 392
So, the octagon's perimeter is 392 centimeters. Don't forget the units!
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