Respuesta :
If 12c-18 is the perimeter of a regular hexagon we can divide this by 6 to get the length of one side. (12c-18)/6 = 2c-3 as an expression for one side of the hexagon.
We need an expression that is equal to 12c-18 one possible expression is just 2c-3+2c-3+2c-3+2c-3+2c-3+2c-3 would be equal to 12c-18. The other expression would also have to equal 12c-18 we can divide this expression by to then add that quotient to itself. (12c-18)/2= 6c-9. 6c-9+6c-9
a.2c-3+2c-3+2c-3+2c-3+2c-3+2c-3
b.6c-9+6c-9
c. 2c-3
Regular hexagon is a closed shaped polygon that has six equal sides and six equal angles. The two expression to find out the perimeter of the given hexagon are,
[tex]P=6(2c-3)[/tex]
[tex]P=(2c-3)+(2c-3)+(2c-3)+(2c-3)+(2c-3)+(2c-3)[/tex]
The side of the given hexagon is [tex](2c-3)[/tex].
Given-
The expression for the perimeter [tex]P[/tex] of a regular hexagon is,
[tex]P=12c-18[/tex]
What is regular hexagon?
Regular hexagon is a closed shaped polygon that has six equal sides and six equal angles.
As we know that the perimeter of the regular hexagon is six times of its side. Thus the expression of the perimeter in terms of its sides can be given as,
[tex]P=12c-18[/tex]
[tex]P=6(2c-3)[/tex]
Thus the above expression is the first expression to represent the perimeter of the regular hexagon.
As we know that the perimeter of the regular hexagon is the addition of its all sides. The side of the given hexagon is [tex](2c-3)[/tex]. Thus the expression of the perimeter in terms of its addition of all sides can be given as,
[tex]P=(2c-3)+(2c-3)+(2c-3)+(2c-3)+(2c-3)+(2c-3)[/tex]
Thus the above expression is the second expression to represent the perimeter of the regular hexagon.
As the side [tex]s[/tex] of the regular hexagon can be calculated by dividing the perimeter with 6. Thus,
[tex]s=\dfrac{12c-18}{6}[/tex]
[tex]s=\dfrac{6(2c-3)}{6}[/tex]
[tex]s=2c-3[/tex]
Thus the side of the given hexagon is [tex](2c-3)[/tex].
Hence the two expression to find out the perimeter of the given hexagon are,
[tex]P=6(2c-3)[/tex]
[tex]P=(2c-3)+(2c-3)+(2c-3)+(2c-3)+(2c-3)+(2c-3)[/tex]
The side of the given hexagon is [tex](2c-3)[/tex].
Learn more about the regular hexagon here;
https://brainly.com/question/1694257
