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The length of a car with a small trailer attached is 25 ft. The car is 9 ft longer than the trailer. How long is the trailer? Draw a Diagram and Write an Equation COURSE 3 LESSON 2-5 The combined length of the car and trailer is 25 ft. The car is 9 ft longer than the trailer. The goal is to find the length of the trailer. 2-5

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(continued) Draw a Diagram and Write an Equation COURSE 3 LESSON 2-5 Method 1 Draw a Diagram Draw a diagram to show that the car with the trailer attached is 25 ft and the car is 9 ft longer than the trailer. 2-5

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(continued) Draw a Diagram and Write an Equation COURSE 3 LESSON 2-5 Subtracting 9 ft from 25 ft results in 16 ft, which is twice the length of the trailer. One half of 16 is 8, so the trailer is 8 ft long. Method 2 Write an Equation You know that the car is 9 ft longer than the trailer. You also know that the car and trailer are 25 ft long. 2-5

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(continued) Draw a Diagram and Write an Equation COURSE 3 LESSON 2-5 (t + 9) + t = 25 Let t = the length of the trailer. Let t + 9 = the length of the car. The car is 9 ft longer than the trailer. Wordscar length plus trailer length is total length Equationt + 9+t=25 2t + 9 = 25Combine like terms. 2t + 9 – 9 = 25 – 9Subtract 9 from each side. 2-5

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(continued) Draw a Diagram and Write an Equation COURSE 3 LESSON 2-5 The trailer is 8 ft long. If the trailer is 8 ft long, then the car is 8 + 9, or 17 ft long. Since 8 + 17 = 25, the answer checks. Divide each side by 2. = 2t22t2 16 2 2t = 16Simplify. t = 8Simplify. 2-5

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Draw a Diagram and Write an Equation Name two strategies you could use to solve the problem. Then solve the problem. One side of a triangular garden measures 22 ft. A second side is 6 times the third side. The perimeter is 50 ft. What is the length of the shortest side? COURSE 3 LESSON 2-5 Strategies may vary. Sample: Draw a diagram and write an equation. 4 ft 2-5

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