# Find the length and width of a rectangle

##### Question
Draw a rectangle that has a perimeter of 18 cm and an area greater than 18 sq.cm. What are the dimensions?

STEP 1:    It will be helpful if you can recall the basic properties of a rectangle. A rectangle is defined by the dimensions length and width. It has four sides, and also the opposite sides of a rectangle have the same length.

You are given the perimeter of a rectangle. The perimeter, as you know, is the total distance along the outside of the rectangle. The formula used to calculate perimeter is: In the formula, the variables l and w denote the length and width of the rectangle, respectively.

STEP 2:    Since you know the value of the perimeter, you can make the replacement in the formula. By dividing both the sides by 2, the equation changes to
9 = l + w, or l + w = 9.

STEP 3:    Think of the possible dimensions the rectangle can have if the sum of the length and width equals 9 cm. But, it is given that area of the rectangle has to be greater than 18 sq. cm. This means that the product of the length and width must be greater than 18.

Try different values for l and w such that the sum equals 9. Find the corresponding products, and then make a table of values. If you observe the table, then you can find that the area of the rectangle is greater than 18 only when the dimension of the rectangle is either 4 cm by 5 cm, or 5 cm by 4 cm.

STEP 4:    Choose any of the two desirable dimensions. Then, finally draw the rectangle. ### Comments for Find the length and width of a rectangle

Average Rating   Jan 09, 2020 Rating     I DONT UNDERSTAND NEW by: bruh Why do you guys have to use big words cmon i don’t understand shit this makes no sense ✌️😔

 May 25, 2018 Rating Binch WHy U FAk NEW by: NibberMagot QNBIHBWYDYUDVU@EDYDDH DTHIS BE TERRBL

 Apr 19, 2018 Rating Why NEW by: C'mon... You didnt even help, those poor people, who actually need help! Do some actual work, and make it understandable, for people to get it better. Calculator isnt going to help us for this, we may be cheating, But i need some help, i would have gaven this 0 stars X INFINTE. But we cant, cuz you rigged it. Give some real facts, and maybe more people will come with some better ratings and attidudes.

 Mar 03, 2018 Rating     Not Clear NEW by: Anonymous Please make it more understandable. I didn't understand the table thing at all...

 Feb 25, 2018 Rating make it understandable NEW by: not helpful at all this was not at all helpful please make your answer understandable, so others will understand

 Feb 13, 2018 Rating Not helpful NEW by: Random person THIS SUCKED

 Feb 11, 2018 Rating V NEW by: Anonymous The truth dude.

 Feb 11, 2018 Rating Stupid NEW by: Anonymous I guess I can't lean without paying for the technology to help huh? Great world we live in where children can't even get basic education for free anymore.

 Jan 25, 2018 Rating terrible NEW by: Anonymous lol not good at all, how do you call yourselves a math website???? smh.

 Jan 16, 2018 Rating Steps that I can't understand NEW by: Rishi Kumar You are a foolish.By these steps i cannot get my ans.Maximum steps are not clear. I think no one understand by these examples or no clear explanations please improve it or don't show this on Chrome please!!!! . The examples by your are telling what to do in the case of Mathematical problems please improve it

 Dec 06, 2017 Rating Untitled NEW by: Anonymous tells you nothing about width or length

 Nov 18, 2017 Rating i could not find the width NEW by: unknown this is so confusing and boring ..... I cant find the width mxxxm

 Nov 14, 2017 Rating  Don’t insult my intelligence. NEW by: Anonymous I have a problem that gives me the area, and only the area. I need to know how to find both length and width when neither are present and the only thing given to me is just the area. I already know these basics and I came here for help with more complicated problem that required something more than this basic formula.

 Nov 06, 2017 Rating Nice but my answer! NEW by: Anonymous It not fair I didn't get my answer

 Nov 06, 2017 Rating Not fair NEW by: Anonymous It not fair I didn't get my answer

 Nov 06, 2017 Rating well then NEW by: charley not really helpful.. Sorry. .-.

 Sep 13, 2017 Rating     Mathematics master NEW by: Anonymous No help ☹️

 Mar 21, 2017 Rating No help at all!! NEW by: 5th grade is hard Sorry but this was totally no help.... the question that I was doing did not give us the perimeter.....😐😕

 Dec 22, 2016 Rating     boluwatifeasha@gmail.com NEW by: ashaboluwatife please help me find the length of rectangle whose perimeter and area add me on boluwatifeasha@gmail.com

 Oct 15, 2016 Rating no help NEW by: Anonymous no help at all >=(

 Oct 15, 2016 Rating no help NEW by: Anonymous no help at all >=(

 Sep 08, 2016 Rating     8th grade problem NEW by: Anonymous 8th grade math problem- a rectangle has an area of 90 units. what is the rectangles length and width?

 Sep 07, 2016 Rating     HELP 7TH GRADE IS HARD NEW by: Anonymous Hi is there an easier way to solve this. I only have the area and need to find possible lengths and width. Thanks.

 Aug 07, 2016 Rating I didn't help NEW by: Lola Hi sorry it really didn't help me I have this sum: The perimeter of a rectangle is 1200m.If it's length is twice the width, A)Wat is the length of the field ? B)give the width of the field? C)calculate the area of the field? I need the answer ASAP

 Apr 08, 2016 Rating     Finding side length (Given Area) NEW by: Anonymous Determine the value of L Area=9u2

 May 19, 2015 Rating     Area calculations by: Visual Math The formula for the area of a rectangle is A = w x l; if the area is given and the width is a fraction of the length, the formula can be expressed thus: A = (a/b x l) x l Since we are looking for the length, we invert the formula for the area of a rectangle: l = A/w Based on the information that the width is a fraction of the length, the formula would thus be in this form: l = A/(a/b x l) Now, let's rearrange the formula: l(a/b x l) = A l x a/b x l = A l^2 = A/(a/b) l^2 = Ab/a l = √(Ab/a) So, for example, if it is given that the area is given as 6cm^2, and the width is 2/3 of the length, then, using the formula above, we would get the following: l = 6/(2/3 x l) l(2/3 x l) = 6 l^2 = 6/(2/3) l^2 = 9 l = 3cm

 Feb 08, 2014 Rating     Area calculation by: Anonymous How do you find the length of rectangle if the area is given and the width is a fraction of the length?

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