Answer

Success!

P = 7
s = 1.1666666666667
A = 3.5362703987865
Interior Angle sum = 720°
Diagonals = 9
1 vertex Diagonals = 3
Triangles = 4
Sides (Edges) = 6
Faces = 1
Vertices = 6

↓Steps Explained:↓

Hexagon has perimeter (P) of of 7

calculate the side length (s) and Area (A)

The perimeter for a hexagon (P) is given below:

P = 6 x s

Dividing each side by 6, we get:

P
6

Cancel the 6, we get:

s =	P
	6

Plugging in our perimeter value of 7, we get:

s =	7
	6

s = 1.1666666666667

Calculate Area (A):

A = 3√3s²
2

A = 3√3(1.1666666666667²)
2

A = 3√3(1.3611111111111)
2

A = 7.0725407975729
2

A = 3.5362703987865

Calculate Sum of the Interior Angles:

Interior Angle Sum = (sides - 2) x 180°

Interior Angle Sum = (6 - 2) x 180°

Interior Angle Sum = 4 x 180°

Interior Angle sum = 720°

Calculate polygon diagonals

Diagonals =	n(n - 3)
	2

Diagonals =	6(6 - 3)
	2

Diagonals =	6(3)
	2

Diagonals =	18
	2

Diagonals = 9

Calculate 1 vertex diagonals:

1 vertex Diagonals = n - 3

1 vertex Diagonals = 6 - 3

1 vertex Diagonals = 3

Calculate triangles from one vertex:

Triangles = N - 2

Triangles = 6 - 2

Triangles = 4

Other Properties:

Sides (Edges) = 6

Faces = 1

Vertices = 6

Final Answers