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Name: the dimensions of a rectangle are 15 feet by 10 feet express the length of the diagonal in simplest
Uploaded: 2019-07-31
Duration: 1 min 2 s
Channel: Numerade
Description: The dimensions of a rectangle are 15 feet by 10 feet. Express the length of the diagonal in simplest radical form.

Question

The dimensions of a rectangle are 15 feet by 10 feet. Express the length of the diagonal in simplest radical form.

Finian Lickona · Accepted Answer

So we are given that the dimensions of a rectangle are 15 feet by 10 feet and we want to find the length of the diagonal and simplest radical form. Now the length of diagonal is really just going to be the hypothesis of the right try and go forward by these two sides of the rectangle. If we recall, we confined the length of that hype oddness using the Pythagorean there. So 15 squared is 225 110 squared is 100 that&#x27;s equal to the high Patna squared. If we just want the high partners, we have to take the square root of both quantities. So we have the hype. Oddness is equal to the square root of 325 now. This isn&#x27;t quite the simplest radical form, because we can actually rewrite 325 as 13 times 25 25 is a perfect square, so we can factor that out of the radical as of five. So our hypothesis length is actually going to be five radical 13

M S · Answer

So we&#x27;re given that the era rectangle is 25 35. So I know that area is 25 times very 30 were also given that the wit is time to square it is, But they were looking for the link I never went in simples for we know that area is Link Tom&#x27;s wit. What if you saw for Blake Foreign divide both sides by the wit So Lee is area divided by with so the situation will calm them standing so like this area divided by wood. So I&#x27;m gonna substitute in area is 25 Route 35 and with this tin route, but so automatically we can reduce our regular numbers about dividing by the greatest moment factor. So to go someone factor between 10 and 25. Spot 25 divided by five gets a spot and 10 divided by five gets us to So we have five work too. And then when you combine these radicals because they have the same right, so just radical square it of 35 over five and I&#x27;m gonna do the same thing. I wanted to buy the top bottom by the great become a factor in this case, it&#x27;s Father 35 divided by five years. A seven and five divided by five gives us boy. So we have five over two times the square root of seven. And that&#x27;s as far as we can. Simplify this expression and be sure to include units. In this case, it&#x27;s Bates. It is just like so it&#x27;s not beat, squared or cute or anything. It&#x27;s just

Nick Johnson · Answer

here giving a square told the area of the square is equal to 150 square feet. So if we let each side and square right, he is a square. Every side is the same length. But if we have to sideline you, could the X. That means that while X square is 1 50 right, if this area is 1 50 that means that X square is equal to 1 50 which implies that X is equal to the square root of one fifties. The length of that side is the square root of 1 50 Now we write 1 50 as the product of two things such that one of the things that perfect square Well, yes, right, cause 1 50 is equal to 25 um, time six. And it&#x27;s where we have 25 is five. So I can come outside of your radical. So therefore, this is equal to five times the square root of six. And this was given in, um, and square feet. So the length off one side is equal to buy the Times square six feet five times the square root of six feet. All right, take care

Elizabeth Xu · Answer

So in this question, here we have a rectangle where the length of the rectangle is four centimeters more than the way. So if the with stop you, that means the lamp ears for plus W. We also know that the measure of the diagonal is equal to 10 centimeters song, so we want to find the dimensions of the rectangle. Well, given this what we know here, the because we have a rectangle in a right triangle year, we know that W squared plus four plus W squared. Is he good to 10 square from Pataki in state From now we expand B A W squared plus 16 plus hate W plus W squaring. Does he go to 100? So to W squared plus C W minus 84 is equal to zero. The body will sides by two because W squared plus four w minus 32 or minus 42 you have read here, 42 is equal to zero. Now, to find the zeros of this equation or softer W, we have negativity plus find a screw B squared minus four times. Hey Dempsey, divided by two A, which is equal to negative four plus minus square root of 1 84 over to because he got four plus minus two room 46 over to what is equal to negative two plus minus root 46. So that means that W can either be equal to negative two. Plus Route 46 were negative two minus 3 46 But we know that negative two minus Route 46 will be a negative number. And because W. Stands for the width of a rectangle and erecting will cannot have a negative width, we can disc lewd. This answer and we have W is equal to negative to or negative two, plus Route 46 so don&#x27;t use equal to negative two plus through 46. We know that the lamp here is four plus w. So four plus W is equal to positive two plus Route 46. So we have our with is negative two plus Route 46 our link is positive two plus Route 46

Sriram Soundarrajan · Answer

hollowed one. Bolivia going to Robin about printing from the section. Quite a letter here decided off the room that is given and one day leave a giver. So this can be her robust. Okay, your side measures then then that. And these are the $2. So one day Gomes is 50. This data can be 50. So this good myself. 7.5. This can&#x27;t be X so Yeah, it would have been I dated your little been activity has proven entity related. So if can be thoroughly by fighter water there x square plus Sandpoint fighter or square Because that square it was classical harder minus side point fight. Quit. Thanks. Because I think the point. Think fun. My equals left, which is a cough through windows. Explain six. This comes to be 13. Point it That enough up question. Thank you.

Sriram Soundarrajan · Answer

hello to our live. You&#x27;re going to start proper number 28 from the section perimeter and area here. The given is square with Wagner 15 meters. So a little less square off bag and then 15. So this comes to get our Nadal fortify so we can trade 45 because desire is a it&#x27;s a couple it by 50 a equals 15 by go. No, no, no. Is it going to be at our 7.5 meter? Yeah, because So this is a which is because point fight. I don&#x27;t So, Yulia, off quiet equals If square which is so in point for a I don&#x27;t do the whole square, It&#x27;s got to be it on hard A good fight square meter, then really make the office square given person elected question for you, for Redux sailed off square. He&#x27;s got to be around the the to make us That&#x27;s their awful question. Thank you

Problem

The area of a square is 150 square feet. Express …

Problem 42 Hard Difficulty

The dimensions of a rectangle are 15 feet by 10 feet. Express the length of the diagonal in simplest radical form.

Answer

5$\sqrt{13}$

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5$\sqrt{13}$

Algebra 2 and Trigonometry

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