Answer:
Equation:
[tex]6(7.6x+10.4)=737.28[/tex]
Solution:
[tex]x=14.8\ centimeters[/tex]
Step-by-step explanation:
Perimeter of a hexagon
We are given the length of the side of a regular hexagon
[tex]l=7.6x+10.4\ centimeters[/tex]
And we also know the perimeter of the hexagon is
[tex]P=737.28\ centimeters[/tex]
The perimeter of a regular hexagon is 6 times its side, so
[tex]P=6l=6(7.6x+10.4)[/tex]
The equation that will give the relation to solve for x is
[tex]6(7.6x+10.4)=737.28[/tex]
Reducing
[tex]7.6x+10.4=122.88[/tex]
[tex]7.6x=122.88-10.4=112.48[/tex]
[tex]\displaystyle x=\frac{112.48}{7.6}[/tex]
[tex]x=14.8\ centimeters[/tex]
