Scale Factors & Scale Drawings

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to determine how much larger or smaller a scale drawing is compared to the actual object.

Front

If the scale factor is greater than 1, what does it indicate?

Back

It indicates enlargement.

Front

If the scale factor is less than 1, what does it indicate?

Back

It indicates reduction.

Front

What is the formula to find the area of a scale drawing?

Back

Area of scale drawing = (Scale Factor)^2 × Actual Area.

Front

How do you convert a scale drawing measurement to actual measurement?

Back

Multiply the measurement in the scale drawing by the scale factor.

Front

What is the scale of a drawing if 1 inch represents 5 feet?

Back

1 inch = 5 feet.

Front

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

Back

Area = Length × Width = 6 in × 4 in = 24 in².

Front

How do you find the actual distance between two points on a map?

Back

Multiply the distance on the map by the scale factor.

Front

What is the actual distance if the scale is 1 inch = 20 miles and the distance on the map is 3 inches?

Back

Actual distance = 3 in × 20 miles/in = 60 miles.

Front

If a drawing of a park is made to a scale of 1 inch = 10 yards, how long is a 50-yard actual object in the drawing?

Back

5 inches.