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Aptitude - Area - Discussion

@ : Home > Aptitude > Area > General Questions - Discussion

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"When ambition ends, happiness begins."
- (Proverb)
1. 

The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

[A]. 15360[B]. 153600
[C]. 30720[D]. 307200

Answer: Option A

Explanation:

Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.
60

Let length = 3x metres and breadth = 2x metres.

Then, 2(3x + 2x) = 1600 or x = 160.

Length = 480 m and Breadth = 320 m.

Area = (480 x 320) m2 = 153600 m2.


Tejveer said: (Thu, Nov 25, 2010 08:52:35 PM)    
 
Why you multiply with 2 in 2(3x+2x) =1600 ?

R.Prabhakaran said: (Sun, Dec 26, 2010 11:35:12 PM)    
 
Why multiply 2(3x+2x)=1600 ?

Divya said: (Mon, Dec 27, 2010 04:55:39 AM)    
 
Perimeter formule 2(l+b), so we are using.

Sankar said: (Sat, Feb 19, 2011 07:41:37 AM)    
 
You said perimeter is 2 (l*b) but in above step perimeter we found as 1600m.

How is it possible two perimeter with different ans?

Ashok said: (Mon, Mar 7, 2011 11:44:56 AM)    
 
instead of using perimeter just take the total distance as 10x coz length 2 times of 3x and breadth 2 times of 2x
add both u will get 10x
and just find x usin s=d/t

Manjula said: (Wed, Mar 16, 2011 10:01:47 AM)    
 
From where does 12000 and 60 come.

Chandrika said: (Sat, Jun 4, 2011 12:03:44 AM)    
 
Why multipty 2(3x+2x)=1600?

Hema said: (Mon, Jul 25, 2011 08:03:03 PM)    
 
Sankar you are wrong, the formula for perimeter is 2(l+b) =1600.

Then subs the value for l and b which means 2 (3x+2x) =1600.

6x+4x=1600 then x=160.

Tapas Sethy said: (Wed, Sep 7, 2011 12:26:56 PM)    
 
How length equal to 480 and breadth equal to 320?

Sathis said: (Thu, Sep 15, 2011 01:43:18 AM)    
 
Hi ashok just explain briefly.

How to apply in s=d/t.

Kavitha said: (Thu, Dec 1, 2011 09:05:32 PM)    
 
It is in the ratio of 3:2 so 160 x 3=480 and 160 x 2=320.

Sandip Mulmule said: (Fri, Jan 13, 2012 02:28:37 PM)    
 
means 3:2
(3*x)+(2*x)=1600
5(2x)=1600/5
2x=320
x=320/2
x=160
.: 3*160=480
.:2*160=320

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