LESSON - Tumwater School District



LESSON7-1Ratio and ProportionExamples: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 wide-screen 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?A. 6.3 mC. 12.9 mB. 7.7 mD. 40.3 m7. 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?A. 11 inC. 21 inB. 14 inD. 30 in8. 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?A. 32°C. 95°B. 64°D. 191°9. 10. The ratio of a model scale die cast motorcycle is 1:18. The model is 5? inches long. What is the length of the actual motorcycle in feet and inches?11.12. Rectangle A has side lengths 16.4 centimeters and 10.8 centimeters. Rectangle B has side lengths 10.25 centimeters and 6.75 centimeters. Determine whether the rectangles are similar. If so, write the similarity ratio.12.A pet store has various sizes of guinea pig cages. A diagram of the top view of one of the cages is shown. What are possible dimensions of this cage?A. 3.6C. 19B. 5.5D. 3313. A gymnasium is 96 feet long and 75 feet wide. On a blueprint, the gymnasium is 5.5 inches long. To the nearest tenth of an inch, what is the width of the gymnasium on the blueprint?A. 3.7 inC. 7.0 inB. 4.3 inD. 13.6 in14.A. 3.6C. 19B. 5.5D. 3315. ABC has side lengths 14, 8, and 10.4. What are possible side lengths of DEF if ABC DEF?A. 28, 20, 20.8C. 28, 20, 26B. 35, 16, 20.8D. 35, 20, 26 ................
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