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 rightɔyright 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 Equations10514. Delivering ads A University of Florida studentearns $20 per day delivering advertising brochuresdoor-to-door, plus $1.50 for each person he inter-views. How many people did he interview on a daywhen he earned $56?a triangle = bh, and the area of a rectangle = Iw.)%3DWadingpool15. Electronic LED billboard An electronic LEDbillboard in Times Square is 26 feet taller than it iswide. If its perimeter is 92 feet, find the dimensionsof the billboard.20 ftSwimmingpool16. Hockey rink A National Hockey League rink is115 feet longer than it is wide. If the perimeterof the rink is 570 feet, find the dimensions of therink?-16 ft22. House construction A builder wants to install atriangular window with the angles shown in theillustration. What angles will he have to cut to makethe window fit? (Hint: The sum of the angles in atriangle equals 180°.)17. Width of a picture frame The picture frame with thedimensions shown in the illustration was built with14 feet of framing material. Find x its width.(x+ 2) ft(x + 30)°(x + 30)°x ft18. Fencing a garden If a gardener fences in the totalrectangular area shown in the illustration insteadof just the square area, he will need twice as muchfencing to enclose the garden. How much fencingwill he need?24 ftx ft23. Length of a living room If a carpenter adds a porchwith 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 ft12 ftx ftPorch19. Swimming pool A rectangular swimming poolmeasures 12 meters by 6 meters and is surroundedby a 116 meter rectangular wooden fence. If thefence forms a border around the pool of uniformwidth, determine the width of the border.Living12 ftroom(x+ 10) ft20. Aquarium A rectangular glass aquarium has alength of 15 yards, a width of 10 yards, and isplaced inside a rectangular room for viewing at amuseum. If the room has a perimeter of 146 yardsand forms a walkway of uniform width that sur-rounds the aquarium, determine the width of thewalkway.24. Depth of water in a trough The trough in theillustration has a cross-sectional area of 54 squareinches. 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 triangularswimming pool shown in the illustration is doubledby adding a rectangular wading pool. Find thedimensions of the wading pool. (Hint: The area ofd8 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 1578%AAA bartleby.comSecondary Pro...Free Chart - A...- www.astro.co...b The width of t...* FavoritesQ SEARCH& ASK AN EXPERTCHATVx MATH SOLVERExpert Solution & AnswerAnswer to Problem 19EThe width of the border is 10 meters.Explanation of SolutionGiven:12 meters6 metersTotal 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 — 4х116 = 36 + 8x116 – 36 = 8r80 = 8xx = 10Final Statement:The width of the border is 10 meters.

Question

Accepted Answer

We have to find from where 2x came in question 19 given solution.