Hello!
The answer is:
The value of "x" is 10 feet.
Why?
To find the correct answer to this problem, we need to remember the formula to calculate the perimeteer of a rectangle, it's given by the following equation:
[tex]Perimeter=2length+2width[/tex]
Now, we are given that:
[tex]Perimeter=200feet\\Width=30\\Length=x+60[/tex]
Then, substituting into the equation, we have:
[tex]200feet=2(x+60feet)+2*(30feet)[/tex]
Applying the distributive property, we have:
[tex]200feet=2x+120feet+60feet[/tex]
[tex]200feet-120feet-600feet=2x[/tex]
[tex]2x=200feet-120feet-60feet\\\\x=\frac{20feet}{2}=10feet[/tex]
Hence, the length of the gate is 10feet.
Have a nice day!
