Charlie has a drawing of his bedroom that measures 8 1/2 in. long by 7 1/4 in. wide. If the real room measures 15 ft. in length, what is the

Converting 15 feet to inches we have 180 inches

So the scale of the drawing is 8.5 : 180 =   17 : 360

So the width is (7 + 1/4) * (360 / 17) = (29/4 * 360/17)  = (29 * 90/17) ≈  153.53 inches ≈ 12.8 ft

The ratio of width to length is the same for both, so

W/15 = 7.25/8.5  or  W = 15*7.25/8.5 ft

$${\mathtt{W}} = {\frac{{\mathtt{15}}{\mathtt{\,\times\,}}{\mathtt{7.25}}}{{\mathtt{8.5}}}} \Rightarrow {\mathtt{W}} = {\mathtt{12.794\: \!117\: \!647\: \!058\: \!823\: \!5}}$$  ft

So the width of the room is approximately 12.8 feet.