Question 967663
  Formula for perimeter of a rectangle is 2(l+w).
    From the first sentence
           2(l+w) = 36
         2l + 2w = 36.........(1)
    From the second sentence 
        l is 2 more than 3w
           l - 3w = 2.........(2)
 Multiply equation (1) by 3 and (2) by 2
           6l + 6w = 108......(4)
           2l - 6w = 4.......(5)
    Add up both equation
          8l = 112
     Divide both sides by 8
           l = 112/8
           l = 14
    Substitute l = 14 in equation (2)
         l - 3w = 2
        14 - 3w = 2
    Collect like terms
      -3w = 2 - 14
      -3w = -12
  Divide both sides by -3
       w = -12/-3
       w = 4
The length and width of the rectangle is 14 and 4 respectively.