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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105 Problem 106 Problem 107 Problem 108 Problem 109 Problem 110 Problem 111 Problem 112 Problem 113 Problem 114 Problem 115 Problem 116 Problem 117 Problem 118 Problem 119 Problem 120

Problem 89 Hard Difficulty

Campers. The perimeter of the window of the camper shell is 140 in. Find the length of one of the shorter sides of the window.

Answer

14 in.

Related Courses

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Algebra

Elementary and Intermediate Algebra

Chapter 2

Equations, Inequalities, and Problem Solving

Section 4

Formulas

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Algebra Topics That are Reviewed at the Start of the Semester

Equations and Inequalities

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Video Transcript

now in this problem, we were told the perimeter of the window of the camper shell is 140 inches. So we know that the distance around the outside of this rectangle is 100 for the inches. We want to find the length of one of the shorter sides of the window. Now they tell us that the longer side is 56 inches, but we don't know the length of the shorter one. So I'm gonna call that X. Well, how do we find the perimeter of a rectangle? Well, the formula is P equals two times the length plus two times toe with. So here's what we can dio we know the perimeter of our window is 100 for the interests, we can substitute one for the and for P. Now we know the length of our window is 56 inches, so I can substitute 56 Farrell and I don't know the whiff We're calling an X in this case. So I'll plus two Times X and now we simply need to solve this equation. Well, the first thing we need to dio is multiply 56 times too, which is 112. So we'll have 1 40 equals 1 12 plus two X. And now we have a two step equation. So first, I'm going to subtract 1 12 from both sides of the equation. Well, 140 minus 1 12 is 28 is equal to the one twelves will cancel out. So just two acts. So it's a solve for X. We're gonna divide both sides by two. And what we'll find is that X is equal to 14. So the length of the smaller sides are 14. The other thing we need to put in is our units. Well, in this case, we're talking about inches, so the shorter side will be 14 inches. Look.

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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