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The length of a rectangle is two feet less than three times its width. If the perimeter is 36 feet, what are the dimensions of the rectangle?

$$\boldsymbol{w}=5, l=13$$

Algebra

Chapter 0

Reviewing the Basics

Section 1

Solving Linear Equations

Equations and Inequalities

McMaster University

Idaho State University

Lectures

04:05

The length of a rectangle …

02:06

08:05

Solve each problem.The…

02:43

03:30

The perimeter of a rectang…

01:20

Set up an algebraic equati…

right. So we have the following problem related to rectangles, and we're gonna use later equations. So where you can use the fact that addition subtraction will under each other and multiplication division will under each other and what we're gonna try to the salt, the length and the width of a rectangle. And we know that it's really in your question because both values l N w r reached to the power of one. So were given the fact that the length is to less than three times it's with. So that seems, simply three times W three times. It's with minus two less to that's length. And we also given the fact that the perimeter is equal to 36 on the perimeters just two times out plus w parentheses or 12 plus two w. So how can we solve this? Well, we see right here that we know what Ellis Ellis three times w minus two. So you can simply take this value how? Substitute this and third thing into right here. We're gonna have 36. What could do time. So you, our www minus two. And this is gonna also be plus w. So now we can simplify this. Um, so we're gonna have 36. It was too www. Plus service for interview minus two. And now we're gonna distribute to into everything. So we're gonna have 36 because to I mean eight of you, I guess, for we want to get W A w by itself. So we're gonna add for onto both sides of the equation to get rid of negative for on the right side. Just 36 that was for Is it simply 40 is equal to x w, and then the force cancel out. So now we can divide both sides of the equation by eight to get W by itself. So 40 divided by eight gonna be fine. So we have five equals w we're simply w equals five. And now, to find the link, we can just substitute out to the very beginning, which was at all times, three times w minus two, which is just linked. Equals three times five. And it's too let and right is true or simply 13. But our with is fine. Our late 13. Yeah. Uh huh, Yeah. Hello? Yeah,

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