Answer:
Equation: [tex]30=2(x-2)+2(2x+3)[/tex]
[tex]x:\frac{14}{3}[/tex]
Step-by-step explanation:
By definition, the perimeter of a figure can be calculated by adding the lenghts of its sides.
Knowing this, you can write the following equation:
[tex]P=2(x-2)+2(2x+3)[/tex] [Equation 1]
According to the data given in the exercise, the perimeter in feet of the fighter is:
[tex]P=30[/tex]
Therefore, you can substitute this values into [Equation 1]:
[tex]30=2(x-2)+2(2x+3)[/tex]
Finally, you must solve for "x" in order to find its value. This is:
[tex]30=6x+2\\\\30-2=6x\\\\\frac{28}{6}=x\\\\x=\frac{14}{3}[/tex]