Welded wire fencing is sold in rolls of $100$ linear feet. A farmer builds a rectangular rabbit pen using exactly one roll of wire. The length of the pen is two feet less than three times its width, and the area of the pen is $481$ square feet.

1. Draw a diagram of the pen and label its dimensions.

   Hint (a):

   What operations describe "two feet LESS" and "three TIMES"?

2. Write two equations to determine the dimensions of the pen, one using area and one using perimeter.

   Hint (b):

   Recall the equation for perimeter of a rectangle:
   $2l + 2w =$ Total perimeter

3. Determine the dimensions of the pen.

   Hint (c):

   Use the equations from part (b) to solve for the width (w) and the length (l).