Final answer:
A scale factor allows you to find the real-life size of areas shown on a map or drawing; for a scale of ½ inch = 5 feet, set up proportions to find the actual dimensions of a room represented by measurements in inches on the drawing.
Step-by-step explanation:
When given a scale factor in a drawing or map, you can use it to determine the actual dimensions of an object or area represented. A given scale factor tells us how much smaller or larger the drawing is compared to the real-life size. For example, a scale factor of ½ inch = 5 feet means that for every half-inch on the drawing, it represents 5 feet in actual size.
To calculate the actual dimensions of a living room that is shown as 0.5 inches by 0.75 inches on a drawing with this scale, you would set up two proportions. First, for the length: Length scale/actual in inches/feet = 0.5/5. Then for the width, use a similar ratio. Finally, solving these proportions will give you the actual dimensions in feet.