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**5.8 Scale Drawing and Models**

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Scale Drawing/Model Is used to represent an object that is too large or to small to be drawn or built to its actual size and is proportional to the actual.

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**Ratio of the model to the actual**

Scale Ratio of the model to the actual

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To Find Scale

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Example 1 The length of a model of a bridge is 16 inches. The actual length of the bridge is 50 yards. What is the scale of the model? The scale is 1 in = yards

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**Meaning the actual is 24 times as big**

Scale Factor When the scale drawing and model have the same unit of measure. Example: Scale: 1 inch = 2 feet Scale Factor: 1in : 24 in Meaning the actual is 24 times as big

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**The actual is 96 times the map length**

Example 2: A map of a natural history museum shows that the dinosaur exhibit room is 7.25 inches wide. If the scale on the map is 1 inch = 8 feet, what is the width of the actual exhibit room? Method 1: Using Scale and Proportions Method 2: Using Scale Factor and Equations 1in = 8 feet The actual is 96 times the map length Let a= actual, m= map a=96m a=96(7.25) a=696 inches 58 feet

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**Example 3 Construct a Scale Drawing on Paper**

An architect is designing a school courtyard that is 45 feet long and 30 feet wide. Make a scale drawing of the courtyard. Use a scale of 0.5 inch= 10 feet. Use ¼ inch graph paper. 0.5 inches = 2 boxes on the ¼ inch graph paper Length: 45/10= 4.5 of 2 boxes= 4.5 (2) = 9 boxes Width: 30/10=3 of 2 boxes= 3(2)= 6 boxes Draw it

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Homework Page 227 (2-16) even

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