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On a blueprint, the living room is 4 in. by 3 in. The scale is in. = 8 ft. What are the length and width of the actual living room? Scale Models and Maps COURSE 3 LESSON 5-7 1212 First, find the actual length of the living room. Let = the actual length of the living room. blueprint measure (in.) actual measure (ft) 1212 8 = 4 blueprint length (in.) actual length (ft) 5-7

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(continued) Scale Models and Maps COURSE 3 LESSON 5-7 1212 = 32 Simplify. =64 Simplify. 1212 1212 = 1212 32 Divide each side by. 1212 1212 = 8 4 Write the cross products. 5-7

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(continued) Scale Models and Maps COURSE 3 LESSON 5-7 The length of the actual room is 64 ft. Next, find the actual width of the living room. Let w = the actual width of the living room. blueprint measure (in.) actual measure (ft) 1212 8 = 3 blueprint length (in.) actual length (ft) w 5-7

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(continued) Scale Models and Maps COURSE 3 LESSON 5-7 w =48 Simplify. 1212 w = 24 Simplify. 1212 w = 8 3 Write the cross products. 1212 1212 = 1212 24 Divide each side by. 1212 w The width of the actual room is 48 ft. 5-7

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The map distance from El Paso, Texas, to Chihuahua, Mexico, measures about 7.5 cm. The scale is 1 cm = 50 km. Find the actual distance using a proportion. Scale Models and Maps COURSE 3 LESSON 5-7 Let x = the actual distance. 1 x = 50 7.5 Write the cross products. map (cm) actual measure (km) 1 50 = 7.5 map (cm) actual (km) x x = 375 Simplify. The distance from El Paso to Chihuahua is 375 km. 5-7

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1.A 6-ft man is designing a new chair that would make him feel like a 2.5-ft child. The seat of a normal chair is 1.5 ft high. How high should he make the seat in his new chair? 2.A map scale shows 4 cm to represent 6 km. Two intersections measure 1 cm apart on the map. What is the actual distance? Scale Models and Maps COURSE 3 LESSON 5-7 3.6 ft 1.5 km 5-7

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