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 the ratio of the dimensions of a scale drawing to the actual object.

Front

How do you calculate the scale factor between two similar shapes?

Back

To calculate the scale factor, divide the length of a side of the new shape by the length of the corresponding side of the original shape.

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object that is either enlarged or reduced in size, maintaining the same proportions as the original.

Front

If a scale is 1cm = 5m, how far is 10cm on the scale in real life?

Back

50 meters.

Front

What is the formula for the area of a square?

Back

Area = side length × side length.

Front

If a square garden has a side length of 25 feet, what is its area in square feet?

Back

625 square feet.

Front

What is the area of a scale drawing of a square garden with a side length of 10 inches, using the scale 2 inches = 5 feet?

Back

100 square inches.

Front

How do you convert a distance on a map to actual distance?

Back

Multiply the distance on the map by the scale factor.

Front

If the distance between two cities on a map is 3 inches and the scale is 1 inch = 20 miles, what is the actual distance?

Back

60 miles.

Front

What is the relationship between scale factor and area?

Back

The area of similar shapes is proportional to the square of the scale factor.