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Over Lesson 6-6 STATUES The statue of Zeus at Olympia is one of the Seven Wonders of the World. On a scale model of the statue, the height of Zeus is 8 inches. If the actual height of the statue is 40 feet, what is the scale? 5-Minute Check 1

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**You have already written and solved proportions. (Lesson 6–5)**

Use scale drawings. Construct scale drawings. Then/Now

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**Example: A scale model has a scale of 1 inch = 2 feet.**

scale factor – the ratio of a length on a scale drawing or model to the corresponding length on the real object in the same unit of measure Example: A scale model has a scale of 1 inch = 2 feet. Vocabulary

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**Method 1 Use a proportion.**

Find Actual Measurements MAP A map has a scale of 1 inch = 8 miles. Two towns are 3.25 inches apart on the map. What is the actual distance between the two towns? Method 1 Use a proportion. Let x represent the actual distance between the two towns. Write and solve a proportion. map distance → actual distance → ← map distance ← actual distance Find the cross products. Simplify. Answer: The actual distance between the two towns is 26 miles. Example 2

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SCALE DRAWING A scale drawing of a new house has a scale of 1 inch = 4 feet. The height of the living room ceiling is 2.75 inches on the scale drawing. What is the actual height of the ceiling? A feet B. 48 feet C. 11 feet D feet Example 2

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Living room Closet Example 3

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**Answer: 15 ft by 18 ft Living room Scale: 1 inch = 24 feet **

Find the length: l = 15 feet Find the width: w = 18 feet Answer: 15 ft by 18 ft Example 3

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**Answer: 6 ft by 12 ft b. closet Scale: 1 inch = 24 feet **

Find the length: l = 6 feet Find the width: w = 12 feet Answer: 6 ft by 12 ft Example 3

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**Master Bedroom: 12 feet by 15 feet**

Example 3

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**Master Bedroom: 12 feet by 15 feet Scale: 1 inch = 24 feet **

Find the length: 1 • = 24 • l 12 = 24l Find the width: 15 = 24w Example 3

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End of the Lesson

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