Answer
$x=4$.
Work Step by Step
Our equation is: $0.5(x+2+x+6)(x)=0.5(2x+8)(x)=(x+4)(x)=32\\x^2+4x-32=0\\(x+8)(x-4)=0$
Thus $x=4$ or $x=-8$ but $x$ has to be positive, thus $x=4$.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.