The perimeter of a regular pentagon is 35in. What is the lenght of one side of the pentagon? Show your work.
A pentagon has 5 sides.
The sum of all 5 sides is 35 inches.
How long is each of the five sides?
7inches
To find the length of one side of a regular pentagon, we first need to determine the total perimeter.
The perimeter of a regular pentagon is calculated by multiplying the length of one side by 5 since all sides are equal in length.
Let's denote the length of one side as "s".
Therefore, the perimeter of a regular pentagon is given by 5s.
Given that the perimeter is 35 inches:
5s = 35
To find the length of one side, we can solve for 's' by dividing both sides of the equation by 5:
s = 35 / 5
s = 7 inches
So, the length of one side of the pentagon is 7 inches.
To find the length of one side of a regular pentagon, we can divide the total perimeter by the number of sides. In this case, a regular pentagon has 5 sides.
Let's represent the length of one side of the pentagon as "x".
The formula for the perimeter of a regular polygon is:
Perimeter = Number of sides * Length of one side
Given that the perimeter of the pentagon is 35 inches, we can set up the equation:
35 inches = 5 * x
Now, solve for x by dividing both sides of the equation by 5:
35 inches / 5 = x
7 inches = x
So, the length of one side of the pentagon is 7 inches.
To summarize:
- The formula for the perimeter of a regular polygon is Perimeter = Number of sides * Length of one side.
- In this case, the perimeter is given as 35 inches, and the number of sides (for a regular pentagon) is 5.
- To find the length of one side, we can rearrange the formula and solve for x by dividing the perimeter by the number of sides.