the-width-of-a-rectangle-is-12-feet-less-than-the-length-the-area-of-the-rectangle-is-540-square-fee

Name: the width of a rectangle is 12 feet less than the length the area of the rectangle is 540 square fee
Uploaded: 2019-11-23
Duration: 1 min 34 s
Channel: Numerade
Description: The width of a rectangle is 12 feet less than the length. The area of the rectangle is 540 square feet. Find the dimensions of the rectangle.

Question

The width of a rectangle is 12 feet less than the length. The area of the rectangle is 540 square feet. Find the dimensions of the rectangle.

Bahar Tehranipoor · Accepted Answer

in this problem we have the width of a rectangle is 12 feet less than this length. So let&#x27;s call this the with. We&#x27;ll call this the length and we&#x27;ll say that w equals L minus 12 were also give that the area is 540. So we know the area of a rectangle just the with times length we have w l equals 5 40 Now we can just substitute in w so that we have this equation in terms about doing that We&#x27;re going to get l A. Times l minus 12 equals 5 40 Multiplying this out, we&#x27;ll get l squared minus 12 l If you subtract this 5 40 minus 5 40 equals zero. So let&#x27;s see, what can we factor this 5 40 into? We know that doing some simple calculations that 5 40 is actually a multiple of thirties. We can say that l minus or my bad plus 30. And then if we divide 5 40 by 30 it&#x27;ll be 54 over three. So 18. So if we want to get a negative 12 l will actually want to have a negative 30 here. So, huh, Negative 30 and then l plus 18. So this is a bit of a trick you&#x27;re one to find. But if you use the calculator is actually really easy. So it be 13 18 checking really quickly. Have l squared plus 18 on minus 30 out, which will give us negative about and then our minus 5 40 So, of course l cannot equal negative 18. That&#x27;s a negative length toe. All must be 30. So knowing that l is 30 you can put that back into the with so 30 minus two of his 18 and you&#x27;re with his 18.

M S · Answer

so I wanna find and dimensions of this rectangle. So we know that the link is six feet less than three times the weight so three times the width. And in minus six, this is the area of the rectangle is 144. So we know the equation for the area of a rectangle is like Tom&#x27;s wit, someone to go ahead and substitute this equation and for ill. So we have 144 equals www minus six times W. So the first step is to distribute the w still have three w squared minus six w. And now we just subtract 1 44 from both sides. So we&#x27;ll have zero equals three w squared minus six w minus 1 44 to know we can solve. But because I don&#x27;t like dealing with big numbers, I&#x27;m gonna go ahead and factor out of three. So it&#x27;s they we&#x27;re back out of three bursts will have zero, and they would have w squared Mining&#x27;s to W. And 1 44 divided by three gives us 48 so have minus 48 here. So, in order to the back of this further, we split apart these middle terms is that we can factor by great big. But in order to do that, we need the motive pyre, coefficient times Our last time in my game says negative. 40 eights. And we know it needs to add negative too. List list of actors of 48 1 48 two in 24 three and 16. Foreign 12 six and eight. So just looking at it already know there were only gonna be dealing with six and eight because you needed to add to in this case is negative two. So six months, eight would give. Listen, I get it, too. So now we&#x27;re gonna split apart on middle term using that information Just found so zero and then three and I&#x27;m going to use big brackets. W squared minus. No, it&#x27;s worse. Sixth of you, minus eight W one day minus four. Hit Now. We grew up our 1st 3 times in our last three times. But now, Ivar throughout someone, a background of W&#x27;s here. So let&#x27;s go. Don&#x27;t be close suit. I don&#x27;t want it back. You out of negative? Wait here and we&#x27;ll have sweet w pluses. No, because we have a saying turn here and here we know you&#x27;re on the right track. So you have three funds that we you minus eight. So I&#x27;m still waiting for us. So no need to sit. Both of these factors equals zero to solve for W. So have w minus eight equals zero and w t plus six people&#x27;s ear. So we at eight to both sides here and we&#x27;ll get w equals eight. And we subtract six from both sides here. We could w equals negative six because we cannot have a negatively. We already know that this is not a solution to our ranks here, so w equal state. So now we&#x27;re gonna plug W into our length equation. So we know that the late things three times that we won six. That isn&#x27;t litigating. We get 24 months. Six, which gives us 18. So we have a length of 18 in the width of eighths.

Joseph Lentino · Answer

in this problem, we have a rectangle. We know that the area of the rectangle is 135 square feet. We also know that the with So if this is the link, the with is going to be six feet less than the length. So l minus six and l areas equal to length times with. So we have l times l minus six in that must equal 135 going to distribute the l. So I have l squared minus six. L and I&#x27;m also going to subtract 1 35 from both sides of the equation minus 1 35 equals zero. So the link must be a positive value. One of my values will be positive. One will be negative because I&#x27;m multiplying to get a negative number. The larger of the two night numbers will be negative. So let&#x27;s take a look at the factors of 1 35 They need to subtract 26 So one in 1 35 will be 1 34 That&#x27;s no good. Um, for nine. So three goes in, three goes in Ah, 45 times. That gives me a difference of 42. No, good. Five goes in and it goes in, um, 27 times, which has a difference of 22. No good. Ah, six does not go in. Seven does not go in eight does not going nine goes in. Nine goes in once with 45 15. The difference between 15 and nine a six. Hooray! The 15 must be the large is the larger distance away from zero So that will be negative And this will be a positive nine to get a negative six. So l equals 15 or l equals negative night with link can&#x27;t be negative Therefore, we must have 15 feet as our lank And because we&#x27;re looking for the dimensions we have to find the with which will be six less than that so 15 by six foot rectangle 15 by six feet

Amy Jiang · Answer

Okay, so we called up. The area is equal to the like times of with and or think is given to be 36 under with is given to be 12 so we have 36 times 12 and that&#x27;s equal to 432.

Brandon Allred · Answer

six feet by six by 15 feet. We want to find the perimeter in the area of this rectangle will find a criminal going to use our formula at the perimeter equals two times the sum of the length and the width. Let&#x27;s go ahead and find the premier for a rectangle. Don&#x27;t be. The perimeter equals two times are length for this rectangle is 15 feet and we&#x27;ll add six feet. Problem with. So that has to 21. And we multiply that by two in our equation. Our perimeter is 42 feet under the same for our area. We have our equation that the area you cools, the length times the with you&#x27;re multiplying those two together to find their area. So our length is 15 feet and our with his six feet. So 15 times six Well, give us our area for area is 90 feet squared from 90 square feet

Ankit Gupta · Answer

let the wit off the rectangle be ex feet, so therefore, than the land will become X plus eight feet. So, according to the question, the Pere Meter is 60 feet. So which means tries Or which means two multiplied with X plus X plus eight is equal to 60 since perimeter off a rectangle is two multiplied with length plus breath. So now solving we get two multiplied with two X plus eight is equal to 60 dividing both sides of the equation. By two, we&#x27;ll get two X plus eight is equal to 30. Now, taking away eight from both sides to X becomes equal to 22 which makes X equal to 11 on dividing both sides of speculation by two. So therefore, wit will be equal to 11 feet on Dhe Lent will become 11 plus it, which is 19 feet.

Problem

The length of a rectangle is 6 feet less than thr…

Problem 19 Medium Difficulty

The width of a rectangle is 12 feet less than the length. The area of the rectangle is 540 square feet. Find the dimensions of the rectangle.

Answer

Length $=30$ feet;
Width $=18$ feet

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Ann Xavier Gantert

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Catherine R.

Alayna H.

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Maria G.

Absolute Value - Example 1

Absolute Value - Example 2

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Length $=30$ feet;Width $=18$ feet

Algebra 2 and Trigonometry

Catherine R.

Alayna H.

Kayleah T.

Maria G.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Catherine R.

Alayna H.

Kayleah T.

Maria G.

Length $=30$ feet;
Width $=18$ feet

Ann Xavier Gantert

Algebra 2 and Trigonometry