LESSON 7-1 Ratio and Proportion Examples: The ratio of the angle measures in a quadrilateral is The was 882 feet 9 inches long. You can a. b. Titanic 1:4:5:6. Find each angle measure. build a model of the ship that is 2 feet 6 inches long and 6 inches high. What was the approximate height of the to the nearest inch? Titanic The ratio of the side lengths in a rectangle is For part of her homework, Celia measured the 1. 2. 5:2:5:2, and its area is 90 square feet. Find the side angles and lengths of the sides of two triangles. lengths. She wrote down the ratios for angle measures and side lengths. Two of the ratios were 4:7:8 and 3:8:13. When Celia got to school the next day, she ratio was for angles and couldn’t remember which which was for sides. Tell which must be the ratio of the lengths of the sides. Explain your answer. For a certain type of tropical fish, it is A library is being 3. 4. recommended that you have no more than 2 fish expanded, and the new per 10 gallons of water. How many fish could you is to be 50 wing’s length have in a fish tank that holds 35 gallons of water? feet greater than its width. A diagram of the new wing is shown. What are the actual dimensions of the new wing? The aspect ratio, or ratio In a museum gift shop, a miniature 5. 6. of length to width of the is 22.8 centimeters long and Acrocanthosaurus viewing area, of a 15.9 centimeters tall. The package says that the 42-inch television actual dinosaur was approximately 9 meters long. is 16:9. What are the About how tall was the dinosaur? dimensions of the rectangular viewing area to the nearest tenth? A model airplane has a wingspan of about 15 The ratio of the interior angle measures of a 7. 8. inches. The actual airplane has a wingspan of 30 pentagon is 2:2:3:4:6. What is the measure of the feet and length of 42 feet. How long is the model? smallest angle to the nearest degree?
LESSON 7-1 Ratio and Proportion Examples: a. The ratio of the angle measures in a quadrilateral is 1:4:5:6. Find each angle measure. b. The Titanic was 882 feet 9 inches long. You can build a model of the ship that is 2 feet 6 inches long and 6 inches high. What was the approximate height of the Titanic to the nearest inch? 1. The ratio of the side lengths in a rectangle is 5:2:5:2, and its area is 90 square feet. Find the side lengths. 2. For part of her homework, Celia measured the angles and lengths of the sides of two triangles. She wrote down the ratios for angle measures and side lengths. Two of the ratios were 4:7:8 and 3:8:13. When Celia got to school the next day, she couldn’t remember which ratio was for angles and which was for sides. Tell which must be the ratio of the lengths of the sides. Explain your answer. 3. For a certain type of tropical fish, it is recommended that you have no more than 2 fish per 10 gallons of water. How many fish could you have in a fish tank that holds 35 gallons of water? 4. A library is being expanded, and the new wing’s length is to be 50 feet greater than its width. A diagram of the new wing is shown. What are the actual dimensions of the new wing? 5. The aspect ratio, or ratio of length to width of the viewing area, of a 42-inch television is 16:9. What are the dimensions of the rectangular viewing area to the nearest tenth? 6. In a museum gift shop, a miniature Acrocanthosaurus is 22.8 centimeters long and 15.9 centimeters tall. The package says that the actual dinosaur was approximately 9 meters long. About how tall was the dinosaur? 7. A model airplane has a wingspan of about 15 inches. The actual airplane has a wingspan of 30 feet and length of 42 feet. How long is the model? 8. The ratio of the interior angle measures of a pentagon is 2:2:3:4:6. What is the measure of the smallest angle to the nearest degree?
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