NAME DATE PERIOD. Study Guide and Intervention
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1 Study Guide and Intervention Distances on a scale drawing or model are proportional to real-life distances. The scale is determined by the of a given length on a drawing or model to its corresponding actual length. Example INTERIOR DESIGN A designer has made a scale drawing of a living room for one of her clients. The scale of the drawing is inch feet. On the drawing, the sofa is 6 inches long. Find the actual length of the sofa. Sofa Let x represent the actual length of the sofa. Write and solve a proportion. Drawing Scale in. 6 in. ft x ft x 6 x 8 Actual Length The actual length of the sofa is 8 feet. Find the cross products. Simplify. in. = ft To find the scale factor for scale drawings and models, write the given by the scale in simplest form. Example 2 Exercises Find the scale factor for the drawing in Example. feet in simplest form. Write the of inch to in.. in Convert feet to inches. 6. in ft The scale factor is 6 or :6. This means that each distance on the drawing is the 6 actual distance. LANDSCAPING Yutaka has made a scale drawing of his yard. The scale of the drawing is centimeter 0.5 meter.. The length of the patio is 4.5 centimeters in the drawing. Find the actual length. 2. The actual distance between the water faucet and the pear tree is.2 meters. Find the corresponding distance on the drawing.. Find the scale factor for the drawing. Patio Pear Tree Path Water Faucet Pond Garden cm = 0.5 m Chapter 4 66 Course
2 Skills Practice ARCHITECTURE The scale on a set of architectural drawings for a house is.5 inches 2 feet. Find the length of each part of the house. Room Drawing Length Actual Length. Living Room 5 inches 2. Dining Room 0.5 inches. Kitchen 2 inches 4 4. Laundry Room 8 inches 4 5. Hall 7 inches 8 6. Garage 6.5 inches 7. What is the scale factor of these drawings? TOWN PLANNING For Exercises 8, use the following information. As part of a downtown renewal project, businesses have constructed a scale model of the town square to present to the city commission for its approval. The scale of the model is inch 7 feet. 8. The courthouse is the tallest building in the town square. If it is 5 2 inches tall in the model, how tall is the actual building? 9. The business owners would like to install new lampposts that are each 2 feet tall. How tall are the lampposts in the model? 0. In the model, the lampposts are inches apart. How far apart 7 will they be when they are installed? Lesson 4 0. What is the scale factor? 2. MAPS On a map, two cities are 6 inches apart. The actual distance 2 between the cities is 04 miles. What is the scale of the map? Chapter 4 67 Course
3 NAME Practice DATE PERIOD LANDSCAPE PLANS For Exercises 4, use the drawing and an inch ruler to find the actual length and width of each section of the park. Measure to the nearest eighth of an inch.. Playground 2. Restrooms Key in. 68 ft Lawn. Picnic Area Dog Run 4. What is the scale factor of the park plan? Explain its meaning. Picnic Area Playground Restrooms 5. SPIDERS The smallest spider, the Patu marples of Samoa, is 0.4 millimeter long. A scale model of this spider is 8 centimeters long. What is the scale of the model? What is the scale factor of the model? 6. ANIMALS An average adult giraffe is 8 feet tall. A newborn giraffe is about 6 feet tall. Kayla is building a model of a mother giraffe and her newborn. She wants the model to be no more than 7 inches high. Choose an appropriate scale for a model of the giraffes. Then use it to find the height of the mother and the height of the newborn giraffe. 7. TRAVEL On a map, the distance between Charleston and Columbia, South Carolina, is 5 inches. If the scale of the map is 7 8 inch 20 miles, about how long would it take the Garcia family to drive from Charleston to Columbia if they drove 60 miles per hour? Chapter 4 68 Course
4 Word Problem Practice CAMPUS PLANNING For Exercises, use the following information. View of Campus from Above The local school district has made a scale model of the campus of Engels Middle School including a proposed new building. The scale of the model is inch feet. Gymnasium Parking New Building Academic Building. An existing gymnasium is 8 inches tall in the model. How tall is the actual gymnasium? 2. The new building is 22.5 inches from the gymnasium in the model. What will be the actual distance from the gymnasium to the new building if it is built?. What is the scale factor of the model? 4. MAPS On a map, two cities are 5 4 inches apart. The scale of the map is 2 inch miles. What is the actual distance between the towns? 5. TRUCKS The bed of Jerry s pickup truck is 6 feet long. On a scale model of the truck, the bed is 8 inches long. What is the scale of the model? 6 ft 6. HOUSING Marta is making a scale drawing of her apartment for a school project. The apartment is 28 feet wide. On her drawing, the apartment is 7 inches wide. What is the scale of Marta s drawing? Lesson ft Chapter 4 69 Course
5 NAME DATE PERIOD Enrichment Scale Drawings The figure at the right has an area of 6 square units. If the figure represented a map, and was drawn to a scale of unit feet, the lengths of the sides would be 6 ft and 9 ft. So, the figure would represent an area of 54 square feet. The of the of the figure to the of the figure can be expressed as a. a ctual area 6 or to 9 scale area Find the and the of these figures. Then determine the of to.. Scale: unit 4 ft 2. Scale: unit 50 cm. Scale: unit 8 mi 4. Scale: unit 2 m 5. Scale: unit 8 in. 6. Scale: unit 6 km Chapter 4 70 Course
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