Name Class Date Practice 2-5 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 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 of the banner? =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? 55 cm 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 of the living room on the new blueprint? Copyright by Pearson Education, Inc, or its affiliates All Rights Reserved Practice 2-5 1 Homework K
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? Explain 9 Error Analysis On the floor plan, 1 in represents 2 ft Tony calculates the actual of the kitchen to be 2 ft 40 in 60 in 60 in dining room kitchen 40 in 40 in study living room 80 in 20 in foyer a) What is the actual of the kitchen? b) What error did Tony likely make? 1in A He multiplied 40 in by the ratio and did not consider the units 2ft B He multiplied 40 in by the ratio 2 ft 1in C He divided 40 in by the ratio 1in and did not consider the units 2ft c) Explain how you could have recognized that Tony s result was likely an error Copyright by Pearson Education, Inc, or its affiliates All Rights Reserved Practice 2-5 2 Homework K
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 A 12-foot wall measures 275 inches on a scale drawing In the drawing, a second wall is 9 inches long Estimate the actual of the second wall 13 The distance between City A and City B is 200 miles A of 19 feet represents this distance on a certain wall map City C and City D are 38 feet apart on this map What is the actual distance between City C and City D? 14 Think About the Process The scale for the drawing of a rectangular playing field is 2 inches 5 feet a) Find an equation you can use dimensions of the actual field Use the equation y x, where x is a dimension of the scale drawing (in inches) and y is the corresponding dimension of the actual field (in feet) b) The actual of the field is feet c) The actual of the field is feet 20 in 10 in Copyright by Pearson Education, Inc, or its affiliates All Rights Reserved Practice 2-5 3 Homework K
15 Think About the Process The blueprint of a concrete patio has a scale of 2 in 3 ft You want dimensions of a new blueprint of the patio with a scale of 4 in 5 ft a) What is the first step in finding the dimensions of the new scale? A Multiply each dimension on the scale drawing by actual dimension of the patio B Multiply each dimension on the scale drawing by actual dimension of the patio C Multiply each dimension on the scale drawing by actual dimension of the patio b) The of the blueprint with the new scale is in c) The of the blueprint with the new scale is in 14 in 12 in 2 in 3 ft 5 ft 4 in 3 ft 2 in Copyright by Pearson Education, Inc, or its affiliates All Rights Reserved Practice 2-5 4 Homework K
ANSWER KEY Practice 2-5: Maps and Scale Drawings 1 40 mi 2 221 ft 3 15 ft 4 220 m 2 5 12 in 6 5 in 7 a) : 108 in : 72 in b) Answers will vary 8 a) 108 mi b) Answers will vary 9 a) 8 ft b) A c) Answers will vary 10 96 ft 2 11 a) C, F b) 585 mi 12 36 feet 13 400 miles 14 a) 5 2 b) 50 c) 25 15 a) C b) 168 c) 144 Copyright by Pearson Education, Inc, or its affiliates All Rights Reserved Practice 2-5 5 Answer Key K