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

Front

How do you calculate the scale factor from a map distance to actual distance?

Back

To calculate the scale factor, divide the actual distance by the distance on the map.

Front

If a map has a scale of 1 inch = 42 miles, how far apart are two cities that are 5 inches apart on the map?

Back

210 miles (5 inches x 42 miles/inch = 210 miles).

Front

What is the formula to find the area of a square?

Back

Area = side length x 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 (25 feet x 25 feet).

Front

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

Back

100 in² (Area = 10 inches x 10 inches).

Front

How do you determine if two figures are scale copies of each other?

Back

Two figures are scale copies if their corresponding sides are in the same ratio.

Front

If a rectangle has a length of 8 inches and a width of 4 inches, what is the scale factor if the scale drawing has a length of 4 inches?

Back

0.5 (Scale factor = length of drawing / actual length = 4 inches / 8 inches).

Front

What is the actual distance if a map shows 10.2 inches and the scale is 2.5 inches = 200 miles?

Back

816 miles (10.2 inches x (200 miles / 2.5 inches)).

Front

What does it mean for a figure to be a scale drawing?

Back

A scale drawing is a representation of an object with accurate ratios between the dimensions of the drawing and the actual object.