Ascale drawing shows a room to be 3 inches by 4-1/2 inches. carpet, which is $15 per square yard, is to be installed in the room. if the scale is 1 inch to 4 feet, how m4uch would it cost to install the carpet?

The first thing we must do for this case is to look for the real dimensions.
 We have then:
 (3) * (4) = 12 feet
 (4-1 / 2) * (4) = 18 feet
 We are now looking for the room area:
 (12) * (18) = 216 feet ^ 2
 We consider the following conversion:
 1 yard = 3 feet
 Applying the conversion:
 (216) * (1/3) ^ 2 = 24 yd ^ 2
 The total cost will then be:
 (24) * (15) = 360 $
 
 it would cost to install the carpet about:
 360 $