# Aptitude - Area - Discussion

### Discussion :: Area - General Questions (Q.No.3)

3.

The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

 [A]. 16 cm [B]. 18 cm [C]. 24 cm [D]. Data inadequate [E]. None of these

Explanation:

 2(l + b) = 5 b 1 2l + 2b = 5b 3b = 2l

 b = 2 l 3

Then, Area = 216 cm2 l x b = 216 l x 2 l = 216 3 l2 = 324 l = 18 cm.

 P.Bharathi said: (Oct 2, 2010) I have done like below : Perimeter=2(l+b), 5x=2(l+x)=2l+2x => l=3x/2, Area = 3x/2*x = 216=> I got the value for x is 12 which is the length. Is it correct ah?

 Sankar said: (Feb 19, 2011) No its wrong. Value is given in ratio.

 Shahid said: (May 19, 2011) @Bharathi ..your answer is absolutely right. There is no error in it.

 Muthulakshmi said: (Sep 8, 2011) @Bharathi your ans is correct .12 is not the length it is the value of breath. see your explanation. perimeter=2(l+b) ratio b/w perimeter and breathis 5:1 5x=2(l+x)=2l+2x=>"l=3x/2", area =3x*x/2=21=>x=12 which is not the value of length substitute the value of "x" in the equation L=3x/2=(3*12)/2=18 ARE U CLEAR ?

 Engr. Md. Easir Arafat said: (Nov 23, 2014) Let the breadth to be x and the length to be y. Hence, perimeter becomes 5x. Now, 5x = 2(x+y). Or, 3x = 2y -----------1. Again, x*y = 216. Or, x = 648/y ----------2. Putting the value of x in eq. no. 1, we get, 648/y = 2y. Or (2y*y) = 648. Or y = Sqrt 324 = 18 cm.

 Sajid said: (May 14, 2015) 2(l+b)/b. Please explain why divided b?

 Sravani said: (Jul 12, 2015) Ratio is given in terms of perimeter and breath i.e, 5:1. Let length be 'l' and breadth be 'b'. Perimeter = 2 (l+b). Breadth = b. So (perimeter/breadth) = 5:1. (2(l+b)/b) = 5:1. I think you got?

 Ujjwal Mondal said: (Oct 16, 2016) I cannot understand it. Please solve it by a simple rule.

 Kartik said: (Oct 21, 2016) How can 2 (l + b)/b we let as = 5/1?

 Shona said: (Jan 7, 2017) Please explain in simple method.

 Ramana said: (Feb 14, 2017) Not understanding. Please explain me.

 Abi said: (Jul 18, 2017) 2(5x+x)=216, 12x=216, x=18.

 Karan Khitan said: (Feb 8, 2018) Suppose 5x nd 1x. Perimeter = 2 (L*b). 2(5x+1x)=216, 2(6x)=216, 12x=216, X=18cm.

 Tanweer said: (Aug 8, 2018) Simply; 2(l+b)=216. 2(5+2)=2016. 12=216. Ans = 18.

 Mahi said: (Dec 1, 2018) 2(5+1)216. = 12/216 = 18

 Migma Tshering Tamang said: (Oct 13, 2020) Perimeter=2(l+b). 5x=2l+2(x), 3x=2l, l=3/2x or 1.5x. Therefore, b=x and l=1.5x. So, Area; 1.5x * x=216 1.5x^2=216 x^2=144 x=12 Length=1.5x. = 1.5(12). = 18 ans.

 Gayu said: (Jun 19, 2021) How to 2/3 =216? Explain.

 Aishwarya said: (Sep 16, 2021) p:b = 5:1. 2(l+b)/b = 5/1, 2l+2b = 5b, l = 3b\2. Area = 216. l*b = 216, 3b = 20.78, b = 12.

 Aishwarya said: (Sep 16, 2021) p:b = 5:1. 2(l+b)/b = 5/1, 2l+2b = 5b, l = 3b\2. Area = 216. l*b = 216, 3b = 20.78, b = 12.