Scale Factor Word Problems

Front

What is a scale drawing?

Back

A drawing that shows a real object enlarged or reduced.

Front

If each side length of a rectangle is multiplied by a scale factor of 3, how does the area change?

Back

The area is multiplied by the square of the scale factor. If the original area is A, the new area is 9A.

Front

What is the formula to find the actual distance using a scale?

Back

Actual Distance = (Distance on Map) x (Scale Factor) / (Map Distance Unit)

Front

If the scale on a map is 2 inches = 40 miles, what is the scale factor in miles per inch?

Back

20 miles per inch.

Front

How do you calculate the scale of a drawing?

Back

Scale = (Actual Length) / (Drawing Length)

Front

If a soccer field in a drawing is 14 inches long and the actual field is 98 yards long, what is the scale?

Back

1 inch = 7 yards.

Front

What happens to the area of a shape if the scale factor is 2?

Back

The area increases by a factor of 4.

Front

If a rectangle has a length of 6 ft and a width of 4 ft, what is the area?

Back

24 square feet.

Front

What is the new area of a rectangle if each side is multiplied by 3 and the original area is 48 square feet?

Back

The new area is 432 square feet.

Front

How do you convert inches to miles using a map scale?

Back

Multiply the number of inches by the scale factor to find the actual distance in miles.