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For #19, where did the 2x come from?

For #19, where did the 2x come from?

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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For #19, where did the 2x come from?

119 of 898 Treview has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right ɔyright 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). remove additional content at any time if subsequent rights restrictions require it. Section 1.2 Applications of Linear Equations 105 14. Delivering ads A University of Florida student earns $20 per day delivering advertising brochures door-to-door, plus $1.50 for each person he inter- views. How many people did he interview on a day when he earned $56? a triangle = bh, and the area of a rectangle = Iw.) %3D Wading pool 15. Electronic LED billboard An electronic LED billboard in Times Square is 26 feet taller than it is wide. If its perimeter is 92 feet, find the dimensions of the billboard. 20 ft Swimming pool 16. Hockey rink A National Hockey League rink is 115 feet longer than it is wide. If the perimeter of the rink is 570 feet, find the dimensions of the rink? -16 ft 22. House construction A builder wants to install a triangular window with the angles shown in the illustration. What angles will he have to cut to make the window fit? (Hint: The sum of the angles in a triangle equals 180°.) 17. Width of a picture frame The picture frame with the dimensions shown in the illustration was built with 14 feet of framing material. Find x its width. (x+ 2) ft (x + 30)° (x + 30)° x ft 18. Fencing a garden If a gardener fences in the total rectangular area shown in the illustration instead of just the square area, he will need twice as much fencing to enclose the garden. How much fencing will he need? 24 ft x ft 23. Length of a living room If a carpenter adds a porch with dimensions shown in the illustration to the liv- ing room, the living area will be increased by 50%. Find the length of the living room. x ft 12 ft x ft Porch 19. Swimming pool A rectangular swimming pool measures 12 meters by 6 meters and is surrounded by a 116 meter rectangular wooden fence. If the fence forms a border around the pool of uniform width, determine the width of the border. Living 12 ft room (x+ 10) ft 20. Aquarium A rectangular glass aquarium has a length of 15 yards, a width of 10 yards, and is placed inside a rectangular room for viewing at a museum. If the room has a perimeter of 146 yards and forms a walkway of uniform width that sur- rounds the aquarium, determine the width of the walkway. 24. Depth of water in a trough The trough in the illustration has a cross-sectional area of 54 square inches. Find the depth, d, of the trough. (Hint: Area of a trapezoid = }h(b, + b,).) 12 in. 21. Wading pool dimensions The area of the triangular swimming pool shown in the illustration is doubled by adding a rectangular wading pool. Find the dimensions of the wading pool. (Hint: The area of d 8 in. Copyright 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 106 Chapter 1 Equations and Inequalities
Transcribed Image Text:119 of 898 Treview has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right ɔyright 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). remove additional content at any time if subsequent rights restrictions require it. Section 1.2 Applications of Linear Equations 105 14. Delivering ads A University of Florida student earns $20 per day delivering advertising brochures door-to-door, plus $1.50 for each person he inter- views. How many people did he interview on a day when he earned $56? a triangle = bh, and the area of a rectangle = Iw.) %3D Wading pool 15. Electronic LED billboard An electronic LED billboard in Times Square is 26 feet taller than it is wide. If its perimeter is 92 feet, find the dimensions of the billboard. 20 ft Swimming pool 16. Hockey rink A National Hockey League rink is 115 feet longer than it is wide. If the perimeter of the rink is 570 feet, find the dimensions of the rink? -16 ft 22. House construction A builder wants to install a triangular window with the angles shown in the illustration. What angles will he have to cut to make the window fit? (Hint: The sum of the angles in a triangle equals 180°.) 17. Width of a picture frame The picture frame with the dimensions shown in the illustration was built with 14 feet of framing material. Find x its width. (x+ 2) ft (x + 30)° (x + 30)° x ft 18. Fencing a garden If a gardener fences in the total rectangular area shown in the illustration instead of just the square area, he will need twice as much fencing to enclose the garden. How much fencing will he need? 24 ft x ft 23. Length of a living room If a carpenter adds a porch with dimensions shown in the illustration to the liv- ing room, the living area will be increased by 50%. Find the length of the living room. x ft 12 ft x ft Porch 19. Swimming pool A rectangular swimming pool measures 12 meters by 6 meters and is surrounded by a 116 meter rectangular wooden fence. If the fence forms a border around the pool of uniform width, determine the width of the border. Living 12 ft room (x+ 10) ft 20. Aquarium A rectangular glass aquarium has a length of 15 yards, a width of 10 yards, and is placed inside a rectangular room for viewing at a museum. If the room has a perimeter of 146 yards and forms a walkway of uniform width that sur- rounds the aquarium, determine the width of the walkway. 24. Depth of water in a trough The trough in the illustration has a cross-sectional area of 54 square inches. Find the depth, d, of the trough. (Hint: Area of a trapezoid = }h(b, + b,).) 12 in. 21. Wading pool dimensions The area of the triangular swimming pool shown in the illustration is doubled by adding a rectangular wading pool. Find the dimensions of the wading pool. (Hint: The area of d 8 in. Copyright 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 106 Chapter 1 Equations and Inequalities
11:08 PM Tue Mar 15 78% AA A bartleby.com Secondary Pro... Free Chart - A... - www.astro.co... b The width of t... * Favorites Q SEARCH & ASK AN EXPERT CHAT Vx MATH SOLVER Expert Solution & Answer Answer to Problem 19E The width of the border is 10 meters. Explanation of Solution Given: 12 meters 6 meters Total fencing used is 116 meters. Approach: Let's assume that the width of a border of a fencing is x meters. So, length of the fencing of swimming pool = (12 + 2x) meters and width of the fencing of swimming pool = (6 + 2x) meters. As we are going to put fence around the rectangular swimming pool, We will use its perimeter. Calculation: Perimeter of rectangle = 2(length + width) 116 = 2(12 + 2x) + 2(6 + 2x) Solving this equation for x yields, 116 %3D 24 — 4х + 12 — 4х 116 = 36 + 8x 116 – 36 = 8r 80 = 8x x = 10 Final Statement: The width of the border is 10 meters.
Transcribed Image Text:11:08 PM Tue Mar 15 78% AA A bartleby.com Secondary Pro... Free Chart - A... - www.astro.co... b The width of t... * Favorites Q SEARCH & ASK AN EXPERT CHAT Vx MATH SOLVER Expert Solution & Answer Answer to Problem 19E The width of the border is 10 meters. Explanation of Solution Given: 12 meters 6 meters Total fencing used is 116 meters. Approach: Let's assume that the width of a border of a fencing is x meters. So, length of the fencing of swimming pool = (12 + 2x) meters and width of the fencing of swimming pool = (6 + 2x) meters. As we are going to put fence around the rectangular swimming pool, We will use its perimeter. Calculation: Perimeter of rectangle = 2(length + width) 116 = 2(12 + 2x) + 2(6 + 2x) Solving this equation for x yields, 116 %3D 24 — 4х + 12 — 4х 116 = 36 + 8x 116 – 36 = 8r 80 = 8x x = 10 Final Statement: The width of the border is 10 meters.
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