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Maps and Scale Drawings

Solve each proportion. 2 3. x 12. 9 5. 27 y. 15 m. 25 5. 1. 2. 3. 4. 5. 6. =. =. =. 3 5. c 30. t 21. 6 18. 13 n. 52 4. =. =. =. Maps and Scale Drawings. COURSE 2 LESSON 5-7. (For help, go to Lesson 5-4.). 5-7.

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Maps and Scale Drawings

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  1. Solve each proportion. 2 3 x 12 9 5 27 y 15 m 25 5 1. 2. 3. 4. 5. 6. = = = 3 5 c 30 t 21 6 18 13 n 52 4 = = = Maps and Scale Drawings COURSE 2 LESSON 5-7 (For help, go to Lesson 5-4.) 5-7

  2. 1. 3x = 24; x = = 8 2. 9y = 135; y = = 15 3. 25m = 75; m = = 3 4. 5c = 90; c = = 18 5. 18t = 126; t = = 7 6. 52n = 52; n = = 1 Solutions 24 3 135 9 75 25 90 5 126 18 52 52 Maps and Scale Drawings COURSE 2 LESSON 5-7 5-7

  3. Maps and Scale Drawings COURSE 2 LESSON 5-7 Find three integers whose sum is 12 and whose product is 42. 2, 3, 7 5-7

  4. 1 in. 6 ft Write the scale of the drawing, 1 in. = 6 ft, as . Then write a proportion in which each ratio compares inches to feet. drawing (in.) drawing (in.) actual (ft) actual (ft) 1 6 = 1n = 6(4.5) Write cross products. n = 27 Simplify. 4.5 n Maps and Scale Drawings COURSE 2 LESSON 5-7 The scale of a drawing is 1 in. : 6 ft. Find the actual length for a drawing length of 4.5 in. Let n represent the actual length. The actual length is 27 ft. 5-7

  5. Write a proportion. map (cm) map (cm) 1 75 = actual (km) actual (km) 1n = 75(4.4) Write cross products. n = 330 Simplify. 4.4 n Maps and Scale Drawings COURSE 2 LESSON 5-7 On a map of North Carolina, the map distance from Asheville to Raleigh would be about 4.4 cm. Find the actual distance from Asheville to Raleigh. The scale on the map is 1 cm : 75 km . The actual distance from Asheville to Raleigh is about 330 km. 5-7

  6. 4 260 = Divide each measure by the GCF, 4. scale length actual length 1 65 Maps and Scale Drawings COURSE 2 LESSON 5-7 The actual length of the wheelbase of a mountain bike is 260 cm. The length of the wheelbase in a scale drawing is 4 cm. Find the scale of the drawing. The scale is 1 cm : 65 cm. 5-7

  7. Maps and Scale Drawings COURSE 2 LESSON 5-7 1. The scale of a map is 1 cm : 25 km. Find the actual distance for a map distance of 6.2 cm. 2. The actual length of a machine part is 40 in. The length of the machine part in a scale drawing is 5 in. Find the scale of the drawing. 155 km 1 in. : 8 in. 5-7

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