Question 58421
The P<sub>ermimeter</sub>=2L+2W.  We know our P is 34 ["Perimeter of the rectangle is 34 in,"].<br>

The length is two more than twice the width.
Twice the width is 2w.
Two more than that is 2w+2.
Therefore, the length (l)=2w+2<br>

Back to the first equation, 34=2L+2W.  We can replace the L in 2L with (2w+2) since L=(2w+2) <sub>Second equation</sub>.  Let's:
34=2w+2(2w+2)  Distribute
34=2w+4w+4   Minus 4 both sides, combine like terms
30=6w   Divide both sides by 6
5=w.  There, the width is 5.<br>

Plug that in to the second equation (l=2w+2) to obtain l:
l=2(5)+2
l=10+2
l=12  The length is 12!<br>

Let's double check:
2(12)+2(5)=34
24+10=34
34=34  We're good so far!<br>

2(5)+2=12
10+2=12
12=12<br>

Yea we got it right!  For questions or comments email or IM me.