Question 496384
Okay, so first we have to set up the variables. Since the length is expressed in terms of the width in the problem, we'll keep it like that in solving the problem. So:
let w= the width
let l= 2w+6
Next, we solve for the perimeter of the rectangle as usual: twice the width + twice the length = the perimeter- and let's plug in our length and width.
2w + 2*(2w+6) =15
After you distribute, it should come out to this: 2w+4w+12= 15
Then you combine like terms (add the w's, and subtract 12 from each side of the equation): 6w= 3. Then divide each side by 6, so w= 1/2.
To get the length, plug it in: 2*(1/2)+6= 7
Width= 1/2 inches
length= 7 inches