the-ratio-of-the-length-to-the-width-of-a-rectangle-is-5-4-the-perimeter-of-the-rectangle-is-72-inch

Name: the ratio of the length to the width of a rectangle is 5 4 the perimeter of the rectangle is 72 inch
Uploaded: 2019-08-17
Duration: 1 min 54 s
Channel: Numerade
Description: The ratio of the length to the width of a rectangle is 5 : 4. The perimeter of the rectangle is 72 inches. What are the dimensions of the rectangle?

Question

The ratio of the length to the width of a rectangle is 5 : 4. The perimeter of the rectangle is 72 inches. What are the dimensions of the rectangle?

Georgiann Andersen · Accepted Answer

we&#x27;re gonna find the dimensions of the rep Tango one. You know that the ratio of the linked to the witness by 24 and the perimeter is 72. This this problem number 20. So we know that length over with it&#x27;s gonna equal to five over four and the perimeter equals 72 inches. So that means that the perimeter is gonna be too times five X plus two times or ex equal 72. So what we&#x27;re gonna do is we&#x27;re gonna find out what the exits here, 10 X plus eight x it&#x27;s gonna be 72. 18 axe equal 72 devivo 18. Our ex is gonna be four. So now we can take that and we can substitute that back yet. So if we know that the length it&#x27;s five acts we&#x27;re gonna take and substitute foreign soar like it&#x27;s gonna be 20 inches are with we said was for X so we can take them. Excuse me the four times before, we&#x27;re gonna get 16 inches. So that is our dimensions

Ryan Gardner · Answer

Okay, So I have a rectangle and insist the length extends the with my five inches. So that means that I don&#x27;t know what the width is yet, So I&#x27;m still just going for X for which and the length is the whip. I lost five inches, which means that everything around is gonna be the exact same. And then it&#x27;s as the perimeter is 34 inches. Well, perimeter just means add up the two lengths. What&#x27;s the two wits? Which means that the perimeter for our equation is going to be X plus X plus X plus five. What&#x27;s exports for now? I&#x27;m just going combine like terms and we add up all these exes and there&#x27;s four axes plus 10. I know my perimeter is 34 and now I&#x27;m just going soft racks. Now that I know that excess, he go to six because 24 divide by Force six. I just plug this in for each. My sides of my whip is six, and my link is six plus five or a weapon so blank is 11 inches and with its six inches

Sherrie Fenner · Answer

all right. They&#x27;re telling us we have the wit. Oh, we&#x27;ll call that W. And we have the lane. And our length is two times the width plus three. And they&#x27;re telling us that are ratio is too fine. And this is what of laying so a ratio that w has to go up here and the length is to w left three. So now everything&#x27;s set up. Now I&#x27;m just gonna cross multiply. And so I have five times stuff you equals two times to W plus three or W plus six, some track board other you and I, uh, w equals six of my width at six. They don&#x27;t give me inches or whatever six times to his 12 plus three is 15 I might mention six by 15.

Sherrie Fenner · Answer

So we have a whip now we have a life, and our wits is three times the length buying this. Oh, and we have a ratio of with telling seven the four. What alike? So it&#x27;s been equal three times the length minus 10. My wits is my numerator and my leg is my denominators. So now I&#x27;m going to cross multiply so seven times l bulls, uh, distribute right away. So 12 l minus 40 Subtract 12 l and I have negative five. L equals negative 40 Divide by negative five. So negative Find out equals negative 40 to buy my negative five l equals a So eight times three is 24 minus 10 and 14. So eight by or teen.

Sriram Soundarrajan · Answer

But if you&#x27;re going to star number number one from dissection, Pedometer and idea here, the human land off the rack, timeless. A fit and off director has given five feet. We had to find the perimeter and area perimeter off the timeless Pruitt Group, then left breath. Here we do. Eight. Press. The fight which is equipped, critics area equals is they learn. Kendo Victor Rich physicals. Eight. Inter fighting Matiz sickles for a square foot. That&#x27;s still an awful question. Thank you.

Amy Jiang · Answer

Okay, so we&#x27;re given that the length of a rectangle is to more than three times with the length is it was a two plus three times that with on the perimeter is equal to 28 inches were asked to find the dimensions of a rectangle. So recall what perimeter is. It&#x27;s adding up all of our science. So if this year is that with and this is our like or length is two plus three w And if you have a rectangle, are opposite sides of the same. So this is two plus three w. And this is a w. Okay, so perimeter that secret to 28th and recall that this is equal to two times are at length, plus two times are with. Well, let&#x27;s plug in our formula for our link. We should. This is to cluster and then two plus two the week Now we can solve for W here we want to solve for R Length and Irwin. Okay, so let&#x27;s multiply out that too. I know. Let&#x27;s combine my terms. So that&#x27;s four plus it of you. And now I want to subtract both sides by four to get rid of this four next to our variable. So we got 24 is equal to eight of you. And what&#x27;s 24 divided by AIDS. Will we get that are with is equal to three. So it&#x27;s right that back up there. Okay, so we found her with and recall that are length is dependent on our with that&#x27;s our length is equal to two, but three times are just three to get to plus nine, and that&#x27;s equal to love it, and this isn&#x27;t inches.

Problem

The ratio of the length to the width of a rectang…

Problem 20 Hard Difficulty

The ratio of the length to the width of a rectangle is 5 : 4. The perimeter of the rectangle is 72 inches. What are the dimensions of the rectangle?

Answer

20 in by 16 in

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Ann Xavier Gantert

Algebra 2 and Trigonometry

Catherine R.

Anna Marie V.

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Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

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20 in by 16 in

Algebra 2 and Trigonometry

Catherine R.

Anna Marie V.

Heather Z.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Catherine R.

Anna Marie V.

Heather Z.

Michael J.

Ann Xavier Gantert

Algebra 2 and Trigonometry