We are told in the scale drawing is:\\\\(\\dfrac{1}{4}\\ inch=1\\ feett\\\\)To find how many inches to make the length of the room at \\\\(18\\\\) feet multiply each side of teh equation by \\\\(18\\\\)\\\\(18 \ imes \\dfrac{1}{4}\\ inch=18 \ imes 1\\ feet\\\\)\\\\(\\dfrac{18}{4}\\ inches=18\\ feet\\\\)\\\\(\\dfrac{16+2}{4} inches=18\\ feet\\\\)\\\\(\\left( \\dfrac{16}{4}+\\dfrac{2}{4}\\right) inches=18\\ feet\\\\)\\\\(\\left( 4+ \\dfrac{1}{2}\\right) \\ inches =18\\ feet\\\\)\\\\(4\\dfrac{1}{2} \\ inches =18\\ feet\\\\)To find how many inches to makes the width of the room at \\\\(16\\\\) feet multiply each side of the equation by \\\\(16\\\\)\\\\(16 \ imes \\dfrac{1}{4}\\ inches =16 \ imes 1\\ feet\\\\)\\\\(\\dfrac{16}{4} \\ inches =16\\ feet\\\\)\\\\(4\\ inches =16\\ feet\\\\)To draw teh room to scale you would draw a rectangle:\\\\(4\\dfrac{1}{2}\\ inches \\\\) by \\\\(4\\\\) inches