= Divide each measure by the GCF, 3. drawing length actual length Scale Drawings LESSON 7-5 Additional Examples The length of a drawing of a kitten is 3 cm. The actual length of the kitten is 27 cm. What is the scale of the drawing? = Divide each measure by the GCF, 3. 3 cm 27 cm 1 9 drawing length actual length The scale is 1 cm to 9 cm, or 1 : 9.
Step 1 Write the scale as a ratio: . 1 inch 20 miles Scale Drawings LESSON 7-5 Additional Examples Use a map scale of 1 in. : 20 mi to find the actual distance of 3.4 in. Step 1 Write the scale as a ratio: . 1 inch 20 miles Step 2 Find the number of miles represented by 3.4 in. Let y = the actual distance represented by 3.4 in. map distances actual distances = 1 in. 20 mi 3.4 in. y mi 1y = 20 • 3.4 Write the cross products. y = 68 Multiply. The actual distance is 68 miles.
Write the scale as a ratio. model (cm) actual (m) Scale Drawings LESSON 7-5 Additional Examples Suppose you are making a model of an 18-meter boat. Use a scale of 1 cm : 2.5 m to find the length of your model boat. Write the scale as a ratio. model (cm) actual (m) 1 2.5 Use to represent the model length. actual lengths 1 2.5 18 = 1 • 18 = 2.5 • Write the cross products. 18 = 2.5 Multiply. Divide each side by 2.5. 18 2.5 = 7.2 = Simplify. The model will be 7.2 cm long.