contractor is designing a rectangular room that will have a pool table. The length of the pool table is twice its width. The contractor wishes to have 3 ft of open space between each wall and the pool table as hown to the right. Express the area of the room in terms of the width w of the pool table. Then perform the indicated operations. Express the area of the room as the product of two polynomials in terms of the width w of the pool table. (Do not multiply.) The area of the room in terms of the width w of the pool table is (Simplify your answer.) units.