1. Interior Design Find the cost of plastering the walls of a room that is 22 ft wide, 25 ft 6 in. long, and 8 ft high. Subtract 120 ft² for windows and doors. The cost is $3 per square foot. 4.3 mi

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Chapter2: Second-order Linear Odes
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### Educational Resource: Calculating Area in Practical Scenarios

#### Construction
1. **Problem:** Find the area of the 2-meter boundary around the swimming pool shown in the figure.
   
   **Diagram:** Illustration of a pool with labeling for dimensions: 8 m and 12 m for the pool, and a 2 m surrounding boundary.

#### Parks
48. **Problem:** An urban renewal project involves reseeding a park shaped as a square, 60 ft on each side. Each bag of grass seed costs $5.75 and will cover 1200 ft². Calculate the budget for purchasing grass seed for the park.

#### Architecture
49. **Problem:** The roller rink shown in the figure is to be covered with hardwood flooring.
   - a. Estimate whether the area of the rink is more or less than 8000 ft² without calculations.
   - b. Calculate the area and the amount of hardwood flooring needed. Use 3.14 for π.

   **Diagram:** Illustration shows a roller rink labeled with dimensions: 80 ft width, 175 ft overall length including semicircular ends.  

#### Parks
50. **Problem:** Find the total area of the national park with the outlined dimensions. Use 3.14 for π.

   **Diagram:** A figure with dimensions 12.7 miles for the length including semicircular ends; a straight section with dimensions 4.3 miles by 17.5 miles.

#### Interior Design
51. **Problem:** Calculate plastering cost for the walls of a room measuring 22 ft wide, 25 ft 6 in. long, and 8 ft high. Subtract 120 ft² for windows and doors. The cost is $3 per square foot.

### Critical Thinking
52. Engage in problem-solving exercises:
   - a. Determine how the area of a rectangle changes if both its length and width are doubled.
   - b. Analyze how the area changes if a circle's radius is doubled.
   - c. Evaluate the change in area if a circle’s diameter is doubled.

53. **Problem:** Assess whether the areas of the circles on the left are equal to, less than, or greater than the areas of the circles on the right.

**Note:** Visual aids include various shapes with marked dimensions to help in calculations.
Transcribed Image Text:### Educational Resource: Calculating Area in Practical Scenarios #### Construction 1. **Problem:** Find the area of the 2-meter boundary around the swimming pool shown in the figure. **Diagram:** Illustration of a pool with labeling for dimensions: 8 m and 12 m for the pool, and a 2 m surrounding boundary. #### Parks 48. **Problem:** An urban renewal project involves reseeding a park shaped as a square, 60 ft on each side. Each bag of grass seed costs $5.75 and will cover 1200 ft². Calculate the budget for purchasing grass seed for the park. #### Architecture 49. **Problem:** The roller rink shown in the figure is to be covered with hardwood flooring. - a. Estimate whether the area of the rink is more or less than 8000 ft² without calculations. - b. Calculate the area and the amount of hardwood flooring needed. Use 3.14 for π. **Diagram:** Illustration shows a roller rink labeled with dimensions: 80 ft width, 175 ft overall length including semicircular ends. #### Parks 50. **Problem:** Find the total area of the national park with the outlined dimensions. Use 3.14 for π. **Diagram:** A figure with dimensions 12.7 miles for the length including semicircular ends; a straight section with dimensions 4.3 miles by 17.5 miles. #### Interior Design 51. **Problem:** Calculate plastering cost for the walls of a room measuring 22 ft wide, 25 ft 6 in. long, and 8 ft high. Subtract 120 ft² for windows and doors. The cost is $3 per square foot. ### Critical Thinking 52. Engage in problem-solving exercises: - a. Determine how the area of a rectangle changes if both its length and width are doubled. - b. Analyze how the area changes if a circle's radius is doubled. - c. Evaluate the change in area if a circle’s diameter is doubled. 53. **Problem:** Assess whether the areas of the circles on the left are equal to, less than, or greater than the areas of the circles on the right. **Note:** Visual aids include various shapes with marked dimensions to help in calculations.
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