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dgeted for buying grass seed for the Architecture The roller rink shown in the figure at the right is to be covered with hardwood flooring. a. Without doing the calculations, indicate whether the area of the rink is more than 8000 ft² or less than 8000 ft². b. Calculate how much hardwood flooring is needed to cover the roller rink. Use 3.14 for TT. 175 ft -12.7 mi 80 ft

dgeted for buying grass seed for the Architecture The roller rink shown in the figure at the right is to be covered with hardwood flooring. a. Without doing the calculations, indicate whether the area of the rink is more than 8000 ft² or less than 8000 ft². b. Calculate how much hardwood flooring is needed to cover the roller rink. Use 3.14 for TT. 175 ft -12.7 mi 80 ft

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Educational Website Transcription** **Section 12.3 - Area (Page 553)** **Construction:** 47. Find the area of the 2-meter boundary around the swimming pool shown in the figure. **Parks:** 48. An urban renewal project involves reseeding a park that is in the shape of a square, 60 ft on each side. Each bag of grass seed costs $5.75 and will seed 1200 ft². How much money should be budgeted for buying grass seed for the park? **Architecture:** 49. The roller rink shown in the figure at the right is to be covered with hardwood flooring. a. Without doing the calculations, indicate whether the area of the rink is more than 8000 ft² or less than 8000 ft². b. Calculate how much hardwood flooring is needed to cover the roller rink. Use 3.14 for π. **Parks:** 50. Find the total area of the national park with the dimensions shown in the figure at the right. Use 3.14 for π. **Interior Design:** 51. 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. **Critical Thinking:** 52. a. If both the length and the width of a rectangle are doubled, how many times larger is the area of the resulting rectangle? b. If the radius of a circle is doubled, what happens to the area? c. If the diameter of a circle is doubled, what happens to the area? 53. The circles at the right are identical. Is the area of the circles to the left of the line equal to, less than, or greater than the area of the circles to the right of the line? **Figures:** - A swimming pool diagram with a boundary, measurements: pool 8 m x 12 m. - Roller rink dimensions: 80 ft across the width, 175 ft in length. - National park dimensions: Length 17.5 mi, width 4.3 mi and an additional semi-circular section with a radius of 2.5 mi and adjoining straight section of 12.7 mi. These exercises help develop problem-solving skills related to calculating areas and understanding
Transcribed Image Text:**Educational Website Transcription** **Section 12.3 - Area (Page 553)** **Construction:** 47. Find the area of the 2-meter boundary around the swimming pool shown in the figure. **Parks:** 48. An urban renewal project involves reseeding a park that is in the shape of a square, 60 ft on each side. Each bag of grass seed costs $5.75 and will seed 1200 ft². How much money should be budgeted for buying grass seed for the park? **Architecture:** 49. The roller rink shown in the figure at the right is to be covered with hardwood flooring. a. Without doing the calculations, indicate whether the area of the rink is more than 8000 ft² or less than 8000 ft². b. Calculate how much hardwood flooring is needed to cover the roller rink. Use 3.14 for π. **Parks:** 50. Find the total area of the national park with the dimensions shown in the figure at the right. Use 3.14 for π. **Interior Design:** 51. 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. **Critical Thinking:** 52. a. If both the length and the width of a rectangle are doubled, how many times larger is the area of the resulting rectangle? b. If the radius of a circle is doubled, what happens to the area? c. If the diameter of a circle is doubled, what happens to the area? 53. The circles at the right are identical. Is the area of the circles to the left of the line equal to, less than, or greater than the area of the circles to the right of the line? **Figures:** - A swimming pool diagram with a boundary, measurements: pool 8 m x 12 m. - Roller rink dimensions: 80 ft across the width, 175 ft in length. - National park dimensions: Length 17.5 mi, width 4.3 mi and an additional semi-circular section with a radius of 2.5 mi and adjoining straight section of 12.7 mi. These exercises help develop problem-solving skills related to calculating areas and understanding
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