Directions: Read each of the following problems carefully. Then do the tasks that follow.
A. A rope 25 meters long is cut into 2 pieces such that the length of the longer piece is 13 metres more than twice the length of the shorter piece.
Answer the following questions based on the given problem.
1. What is asked in the problem?
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2. How long is the rope?
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3. If x represents the length of the shorter piece, how do you represent the length of the longer piece?
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4. Form the equation from the questions 2 and 3.
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5. Solve the equation then check the solution.
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6. What is now the length of the longer piece?
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B. Solve the following problems. Check your solution.
1. The width of the playground is 45 metres less than its length. The perimeter is 594 meters. What are the dimensions of the playground?
2. A rope is 10 metres long. It is cut into 2 pieces such that the length of the longer piece is one more than twice the length of the shorter piece. Find the length of the shorter piece.