Question 831416
By the formula of perimeter of rectangle

P= 2(l + w) or 2l + 2w

*P=34feet
 let x be the width
  x+5 is length (5ft longer than width)

SO , substute in formula;
34ft= 2(x+5+x)
34ft = 2(2x+5)
34ft = 2(4x+10)
34ft-10=4x
24ft=4x   divide both by 4 to solve for x

24ft/4 =4x/4
6ft=x

We found the width 6ft . 
So the length is;
X+5=6ft+5= 11ft

Now lets substitute to the formula above.

P=2(l +w)
34ft=2(11ft+6ft)

34ft  = 2(17ft)
34ft=34ft  true

The length is 11ft long. And width 6ft.