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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
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Just #51

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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