The blueprints for a new bathroom show a raised, rectangular bathtub with an area of 21 ft2. The blueprints show that the raised tub will be surrounded by tile on all four sides; 1-foot of tile on each side of the rectangle tub as well as at the bottom of the rectangle, and 2-feet of tile at the top of the rectangle. The total length of the raised tub including the tile will be twice the total width. Find the dimensions of the bathtub only.
What will be the length of bathtub?
What will be the width of bathtub?