Homework Help is Here – Start Your Trial Now!
Math
Geometry
13. Mr. Dilbert's rectangular swimming pool is surrounded on all sides by a 4-foot wide brick walkway, as shown below. WALKWAY 19 feet 5 feet What is the area of the walkway?

13. Mr. Dilbert's rectangular swimming pool is surrounded on all sides by a 4-foot wide brick walkway, as shown below. WALKWAY 19 feet 5 feet What is the area of the walkway?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section: Chapter Questions
Problem 30SGR
See similar textbooks
Question
### Problem 13: **Context:** Mr. Dilbert's rectangular swimming pool is surrounded on all sides by a 4-foot wide brick walkway. **Diagram Explanation:** - The diagram shows a rectangular swimming pool surrounded by a brick walkway. - The pool itself has dimensions of 19 feet by 5 feet. - The brick walkway is uniformly 4 feet wide on all sides of the pool. **Question:** What is the area of the walkway? **Answer choices:** - A. \(96 \text{ ft}^2\) - B. \(192 \text{ ft}^2\) - C. \(247 \text{ ft}^2\) - D. \(302 \text{ ft}^2\) **Solution Explanation:** 1. First, calculate the dimensions of the entire rectangle (pool plus walkway). The walkway adds 4 feet to each side of the pool: - Length: \(19 + 4 + 4 = 27 \text{ feet}\) - Width: \(5 + 4 + 4 = 13 \text{ feet}\) Therefore, the total dimensions of the rectangle are 27 feet by 13 feet. 2. Calculate the area of the entire rectangle: - \(27 \text{ feet} \times 13 \text{ feet} = 351 \text{ ft}^2\) 3. Calculate the area of the pool: - \(19 \text{ feet} \times 5 \text{ feet} = 95 \text{ ft}^2\) 4. Subtract the area of the pool from the area of the entire rectangle to find the area of the walkway: - \(351 \text{ ft}^2 - 95 \text{ ft}^2 = 256 \text{ ft}^2\) 5. Thus, the area of the walkway is \(\boxed{256 \text{ ft}^2}\). ### Answer: The area of the walkway is \(\boxed{256 \text{ ft}^2}\).
Transcribed Image Text:### Problem 13: **Context:** Mr. Dilbert's rectangular swimming pool is surrounded on all sides by a 4-foot wide brick walkway. **Diagram Explanation:** - The diagram shows a rectangular swimming pool surrounded by a brick walkway. - The pool itself has dimensions of 19 feet by 5 feet. - The brick walkway is uniformly 4 feet wide on all sides of the pool. **Question:** What is the area of the walkway? **Answer choices:** - A. \(96 \text{ ft}^2\) - B. \(192 \text{ ft}^2\) - C. \(247 \text{ ft}^2\) - D. \(302 \text{ ft}^2\) **Solution Explanation:** 1. First, calculate the dimensions of the entire rectangle (pool plus walkway). The walkway adds 4 feet to each side of the pool: - Length: \(19 + 4 + 4 = 27 \text{ feet}\) - Width: \(5 + 4 + 4 = 13 \text{ feet}\) Therefore, the total dimensions of the rectangle are 27 feet by 13 feet. 2. Calculate the area of the entire rectangle: - \(27 \text{ feet} \times 13 \text{ feet} = 351 \text{ ft}^2\) 3. Calculate the area of the pool: - \(19 \text{ feet} \times 5 \text{ feet} = 95 \text{ ft}^2\) 4. Subtract the area of the pool from the area of the entire rectangle to find the area of the walkway: - \(351 \text{ ft}^2 - 95 \text{ ft}^2 = 256 \text{ ft}^2\) 5. Thus, the area of the walkway is \(\boxed{256 \text{ ft}^2}\). ### Answer: The area of the walkway is \(\boxed{256 \text{ ft}^2}\).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Area
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
SEE MORE TEXTBOOKS