Question

What is the value of x of the perimeter of the following figure is 30 miles?

Answer 1

The Solution:

Given:

We are required to find the value of x if the perimeter is 30 miles.

`Perimeter=2(3x-8)+2(6x+5)=6x-16+12x+10=30`
`\begin{gathered} 6x+12x-6=30 \\ \\ 18x=30+6 \\ \\ 18x=36 \end{gathered}`

Divide both sides by 18.

`\begin{gathered} x=(36)/(18)=2 \\ \\ x=2 \end{gathered}`

Therefore, the correct answer is 2.