Scale Factor

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to enlarge or reduce figures in geometry.

Front

If a rectangle has dimensions 4cm by 5cm and is enlarged by a scale factor of 3, what are the new dimensions?

Back

The new dimensions are 12cm by 15cm.

Front

How do you calculate the area of a rectangle?

Back

Area = length × width.

Front

What is the area of a rectangle with dimensions 4cm by 5cm?

Back

20 cm².

Front

If a rectangle with an area of 20 cm² is enlarged by a scale factor of 3, what is the new area?

Back

The new area is 180 cm².

Front

On a map, if the scale is 1 inch:100 miles, what does this mean?

Back

It means that 1 inch on the map represents 100 miles in reality.

Front

If two cities are 3 cm apart on a map with a scale of 1 cm=5km, what is the actual distance?

Back

The actual distance is 15 km.

Front

What is the formula to find the new area after applying a scale factor?

Back

New Area = Original Area × (Scale Factor)².

Front

If a rectangle has dimensions 2.2cm by 4.5cm and is enlarged by a scale factor of 4, what is the new area?

Back

The new area is 158.4 cm².

Front

What happens to the area of a shape when it is enlarged by a scale factor of 2?

Back

The area increases by a factor of 4 (2²).