Name Class Date. 1. On a map, 1 inch equals 5 miles. Two cities are 8 inches apart on the map. What is the actual distance between the cities?

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1 Name Class Date Practice 8-5 Maps and Scale Drawings 2-5 Maps and Scale Drawings 1 On a map, 1 inch equals 5 miles Two cities are 8 inches apart on the map What is the actual distance between the cities? 2 What is the actual length of the truck? 1 inch = 17 feet The gridlines are spaced 1 inch apart 3 You make a scale drawing of a banner for a school dance You use a scale of 1 inch = 3 feet What is the actual width of the banner? width =5 inches 4 The scale drawing is of a backyard tennis court The scale is 1 cm = 2 m What is the actual area of the tennis court? width 55 cm length 10 cm 5 A portion of a map with cities A and B is shown The map uses a scale of 1 inch = 30 miles You are making a map with a scale of 2 inches = 15 miles How far apart are cities A and B on your map? A B 3 inches 6 The blueprint for the Morenos living room has a scale of 2 inches = 5 feet The family wants to use a scale of 1 inch = 3 feet What is the width of the living room on the new blueprint? 1

2 7 Writing The drawing on the right of a swimming pool has a scale of 1 inch = 3 meters a) Find the dimensions of another drawing of this swimming pool with a scale of 2 inches = 5 meters b) How many different scales are available to use for a scale drawing? Why could one scale be more useful than another? 8 Reasoning On a map, 1 inch equals 72 miles Two houses are 15 inches apart on the map a) What is the actual distance between the houses? b) Show how you can represent the scale with two different ratios What ratio is more helpful for solving the problem? Expla 9 Error Analysis On the floor plan, 1 represents 2 ft Tony calculates the actual length of the kitchen to be 2 ft dining room kitchen study living room 80 length 20 foyer width a) What is the actual length of the kitchen? b) What error did Tony likely make? 1 A He multiplied 40 by the ratio 2ft and did not consider the units B He multiplied 40 by the ratio 2 ft 1 C He divided 40 by the ratio 2ft 1 and did not consider the units c) Explain how you could have recognized that Tony s result was likely an error 2

3 10 Flooring How many square feet of flooring is needed to cover the entire bedroom floor? 1 inch =4 feet The gridlines are spaced 1 inch apart 11 Multiple Representations On a map, 2 inches equals The distance that a family travels is 65 inches on the map a) Which two ratios represent the scale of the map? A 2 miles 65 inches C 180miles 2inches E 65 inches B 65 miles 2 inches D 65 inches F 2 inches b) What is the actual distance the family travels? 12 Estimation On a scale drawing of a fence, 375 inches represent 24 feet a) Estimate the actual length of a second fence that is 28 inches in the drawing b) Find the exact length 13 The map shows the distance between two towns A and B a) What is the actual distance from north to south? A The gridlines are spaced 1 apart 1 =3 1 4 km b) What is the actual distance from east to west? B N 3

4 14 Challenge If installed carpet costs $150 per square foot, how much will it cost to carpet the entire living room floor of the cabin? 15 Challenge A map of a highway has a scale of 2 inches = 39 miles The length of the highway on the map is 8 inches There are 17 rest stops equally spaced on the highway, including one at each end You are making a new map with a scale of 1 inch = 30 miles How far apart are the rest stops on the new map? 4

5 ANSWER KEY : Maps and Scale Drawings 1 40 mi ft 3 15 ft m a) length: 108 width: 72 b) Answers will vary 8 a) 108 mi b) Answers will vary 9 a) 8 ft b) A c) Answers will vary ft 2 11 a) C, F b) 585 mi 12 a) 18 ft b) 1792 ft 13 a) km b) km 14 $ Answer Key G