Grade 9 Math Performance Task: The Park Project
This worksheet challenges students to apply mathematical concepts to a real-world park design scenario, covering geometry, measurement, and problem-solving.
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Grade 9 Math Performance Task: The Park Project
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Read the following scenario carefully and answer all questions. Show all your work and reasoning.
Scenario: The City Council has approved a new community park. You have been hired as the lead designer. The park will be built on a rectangular plot of land measuring 200 meters by 150 meters. Your task is to design different sections of the park and calculate various measurements.
1. What is the total perimeter and area of the park plot?
2. You decide to dedicate a square area for a playground with sides of 30 meters. Draw this playground on the provided graph, assuming the bottom-left corner of the park is at (0,0). Label the vertices of the playground.
3. A straight walking path connects the point (10, 10) to (50, 40) on your park's coordinate system. The length of this path is approximately meters. If the path is 1.5 meters wide, its area is square meters.
4. You want to install a circular garden with a radius of 10 meters. Calculate the circumference and area of this garden. Use \(\pi \approx 3.14\).
5. You need to place benches along one edge of the park that is 200 meters long. If each bench is 2 meters wide and you want a 5-meter gap between benches, how many benches can you place?
28 benches
29 benches
30 benches
31 benches
6. The cost of fencing is $15 per meter. How much will it cost to fence the entire perimeter of the park?