Question 78828
From the given information, you may write an equation for the length in terms of the width as follows:
Equation #1: {{{l=2w+2}}}
You also know the perimeter, so you may write an equation for that in terms of l and w:
Equation #2: {{{2l+2w=34}}}
Now you have 2 equations and two unknowns. That means you can solve for the two unknowns. First substitute your value of l in Equation #1 into Equation #2:
{{{2(2w+2)+2w=34}}}
And solve for w:
{{{4w+4+2w=34}}}
{{{6w=30}}}
{{{w=5}}}cm
Now that you know the value of w, you can substitute that value back into Equation #1 and solve for l. I will leave that part of the problem up to you.
Good Luck,
tutor_paul@yahoo.com