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Aptitude - Area - Discussion

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"We cannot solve our problems with the same thinking we used when we created them."
- Albert Einstein
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

Answer: Option C

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: (Sat, Oct 2, 2010 10:32:43 PM)    
 
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: (Sat, Feb 19, 2011 07:45:53 AM)    
 
No its wrong. Value is given in ratio.

Shahid said: (Thu, May 19, 2011 04:57:41 AM)    
 
@Bharathi ..your answer is absolutely right.
There is no error in it.

Muthulakshmi said: (Thu, Sep 8, 2011 06:54:02 PM)    
 
@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 ?

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