Scale Drawings and Scale Factors

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or space that is proportionally reduced or enlarged to a specific scale.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In scale drawings, it is the ratio of a length in the drawing to the corresponding length in the actual object.

Front

If a scale factor is 1:4, what does it mean?

Back

It means that 1 unit on the drawing represents 4 units in real life.

Front

How do you find the perimeter of a scale drawing?

Back

To find the perimeter of a scale drawing, multiply the actual perimeter by the scale factor.

Front

What happens to the area when you change the scale factor?

Back

The area changes by the square of the scale factor. For example, if the scale factor is 2, the area increases by a factor of 2² = 4.

Front

If a square has a perimeter of 20 cm, what is the length of one side?

Back

The length of one side is 20 cm ÷ 4 = 5 cm.

Front

What is the relationship between the perimeter and area of similar figures?

Back

The ratio of the perimeters of similar figures is equal to the ratio of their corresponding lengths, while the ratio of their areas is equal to the square of the ratio of their corresponding lengths.

Front

How do you convert a scale from centimeters to inches?

Back

To convert from centimeters to inches, use the conversion factor: 1 cm = 0.393701 inches.

Front

If a model is built at a scale of 1:10, how long is a 5 cm model in real life?

Back

In real life, the model is 5 cm × 10 = 50 cm.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated as Area = length × width.