An equilateral triangle and a regular hexagon share a common side. The perimeter of the triangle is 20 cm. What is the perimeter of the hexagon?
Since the sides are equal, and the hexagon has twice as many sides as the triangle, ...
40 centimeters
A regular pentagon Sherry common side the perimeter of a square is 20 cm what is the perimeter of the Pentagon
To find the perimeter of the hexagon, we need to determine the length of one side of the hexagon. Since the equilateral triangle shares a side with the hexagon, we can use this information to find the length of the triangle's side.
An equilateral triangle has all three sides of equal length. Let's assume that each side of the equilateral triangle has a length of x.
We know that the perimeter of the equilateral triangle is given by 3x since all sides are equal. We are given that the perimeter of the triangle is 20 cm, so we can set up the equation:
3x = 20
To find the length of one side of the triangle, we can divide both sides of the equation by 3:
x = 20 / 3
Now that we know the length of one side of the equilateral triangle, we can use this information to determine the length of one side of the hexagon.
An equilateral triangle and a regular hexagon share a common side. Therefore, the length of one side of the hexagon is also x, which we found to be 20 / 3 cm.
The perimeter of a regular hexagon is calculated by multiplying the length of one side by 6, since there are 6 equal sides in a hexagon.
Therefore, the perimeter of the hexagon is:
Perimeter = (20 / 3) * 6
Simplifying this expression:
Perimeter = 120 / 3
Perimeter = 40 cm
So, the perimeter of the hexagon is 40 cm.