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The blueprints for a new bathroom show a raised, rectangular bathtub with an area of 9...

The blueprints for a new bathroom show a raised, rectangular bathtub with an area of 9 ft2. The blueprints show that the raised tub will be surrounded by tile on all four sides; 0.5-foot of tile on each side of the rectangular tub as well as at the bottom of the rectangle, and 1-feet of tile at the top of the rectangle (as shown in the diagram below). 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? (the vertical dimension in the diagram given above)

What will be the width of bathtub? (the horizontal dimension in the diagram given above)

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