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A farmer wants to set aside a rectangular plot of land to contain 100 square meters. If the width of the plot is 10 meters less than the length, find the dimensions of the plot. Give your answers rounded to the nearest tenth ofa meter.

$$16.2 \mathrm{m} \text { by } 6.2 \mathrm{m}$$

Algebra

Chapter 0

Reviewing the Basics

Section 3

Completing the Square

Equations and Inequalities

Campbell University

McMaster University

Lectures

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Solve each problem.A f…

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Solve each problem.Max…

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Determine the area of the…

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A rancher has 10,000 linea…

03:14

Ranching. A rancher has 10…

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02:54

Find the dimensions of a r…

make sure it goes a long way in this problem. So we have, uh, the width of something as 10 m less. So if I call this X all this one x minus 10, um, and to find areas length, times width, so X Times X minus 10 means to give me the area which they give us in. The problem is 100 square meters. I just wrote down 100. I mean, hey, I wrote it because it's area, um and also known as they wrote square meters. Our answers are going to be in meters. This one's the meters and meters. Uh, so if I'm doing this problem, I would just distribute that X squared into that piece. I would leave it, leave this 100 over here and just put a blank right there. Because then I can complete the square by doing half of your B value and squaring that number, so that would be negative. Five. That's half of 10 Squared is 25. I need to add 25 to both sides of the equation. Why do we do that now? On the left side, we have a perfect square tray. Nominal factors are 25 but add negative 10 negative five and negative five instead of writing the X minus five twice right at once squared and on the right side that it was 125. So now we're ready to solve this because he is square, root both sides and they tell us around the answer. So I'm perfectly fine. Just leaving. This is plus or minus the square root of 125 right now. But as I add five to the right side to solve for X, I'm going to ignore the negative because if you did five minus 125 square root 125 you're gonna get negative answer. And there's no way to get a negative, um, length of a side. So as I go to my calculator, just type in five plus the square root of 125. I didn't answer 16.180 and if the other side length is 10 less than that, that's right. X minus 10 is the other. We'll take away tantrum from 16. So there's the dimensions of the property. Mhm

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