Question 119609
First, perimeter (P) is 2 times length plus 2 times width.  P = 2L + 2W.
Since the length is 4 more than 3 times the width let width = x and length = 3x + 4.  Plug this into an equation.

P = 32
W = x
L = 3x + 4

2(3x +4)+ 2(x) = 32

Use the distributive property.

6x + 8 + 2x = 32

Combine like terms.

8x + 8 = 32

Subtract 8 from both sides.

8x = 24.

Solve for x by dividing both sides by 8.

x = 3.

Now substitute 3 in the formula for length.

L = 3x + 4
  = 3(3) + 4
  = 9 + 4
  = 13

Therefore width = 3 and length = 13.