In this problem, you will explore the relative sizes of smartphone screens. Smartphone screens are rectangular....
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In this problem, you will explore the relative sizes of smartphone screens. Smartphone screens are rectangular. When a manufacturer advertises that the phone has a 6" screen, they are measuring the length of a diagonal in the rectangle. 6" a) Our strategy often starts by thinking about a simple example. Consider two phones, the iSquare and the SquareX Ultra, each with square screens. (A square is a type of rectangle.) The iSquare advertises a 5" screen and the SquareX Ultra has a 7" screen. Student 1 says: The SquareX Ultra is 40% larger. Student 2 says: No it's almost twice as large. Explain why Student 2 is correct. b) For screens that aren't square, we need to consider the aspect ratio (the ratio of length to width) as well as the advertised size. The Samsung Galaxy S8 has a 5.8" screen with an 18.5:5 aspect ratio. The iPhone X also has a 5.8" screen, but with a 19.5:9 aspect ratio. Which screen is larger and how much larger? Write your conclusion in complete sentences and support your reasoning quantitatively with the appropriate calculations. (Note: Aspect ratios do not necessarily represent actual lengths. Try measuring 18.5 inches by 5 inches to see how crazy a phone of these dimensions looks like.) In this problem, you will explore the relative sizes of smartphone screens. Smartphone screens are rectangular. When a manufacturer advertises that the phone has a 6" screen, they are measuring the length of a diagonal in the rectangle. 6" a) Our strategy often starts by thinking about a simple example. Consider two phones, the iSquare and the SquareX Ultra, each with square screens. (A square is a type of rectangle.) The iSquare advertises a 5" screen and the SquareX Ultra has a 7" screen. Student 1 says: The SquareX Ultra is 40% larger. Student 2 says: No it's almost twice as large. Explain why Student 2 is correct. b) For screens that aren't square, we need to consider the aspect ratio (the ratio of length to width) as well as the advertised size. The Samsung Galaxy S8 has a 5.8" screen with an 18.5:5 aspect ratio. The iPhone X also has a 5.8" screen, but with a 19.5:9 aspect ratio. Which screen is larger and how much larger? Write your conclusion in complete sentences and support your reasoning quantitatively with the appropriate calculations. (Note: Aspect ratios do not necessarily represent actual lengths. Try measuring 18.5 inches by 5 inches to see how crazy a phone of these dimensions looks like.)
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Answer a Student 2 is correct because the SquareX Ultra has a 7 screen which is 40 larger than the 5 ... View the full answer
Related Book For
Physics
ISBN: 978-0077339685
2nd edition
Authors: Alan Giambattista, Betty Richardson, Robert Richardson
Posted Date:
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