Scale Models and Maps

1. 1 2 Let = the actual length of the living room. 1 2 blueprint measure (in.) actual measure (ft) blueprint length (in.) actual length (ft) 4 = 8 COURSE 3 LESSON 5-7 Scale Models and Maps 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? First, find the actual length of the living room. 5-7

2. 1 2 • = 8 • 4 Write the cross products. 1 2 Simplify. = 32 1 2 32 Divide each side by . = 1 2 1 2 1 2 Simplify. = 64 COURSE 3 LESSON 5-7 Scale Models and Maps (continued) 5-7

3. 1 2 blueprint measure (in.) actual measure (ft) blueprint length (in.) actual length (ft) 3 = 8 w COURSE 3 LESSON 5-7 Scale Models and Maps (continued) 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. 5-7

4. 1 2 • w = 8 • 3 Write the cross products. 1 2 Simplify. w = 24 1 2 w 24 Divide each side by . = 1 2 1 2 1 2 Simplify. w = 48 COURSE 3 LESSON 5-7 Scale Models and Maps (continued) The width of the actual room is 48 ft. 5-7

5. map (cm) actual measure (km) 1 map (cm) actual (km) 7.5 = x 50 1 • x = 50 • 7.5 Write the cross products. x = 375 Simplify. COURSE 3 LESSON 5-7 Scale Models and Maps 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. Let x = the actual distance. The distance from El Paso to Chihuahua is 375 km. 5-7

6. COURSE 3 LESSON 5-7 Scale Models and Maps 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? 3.6 ft 1.5 km 5-7