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Aptitude - Area - Discussion

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"Act well your part; there all honor lies."
- Alexander Pope
8. 

A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

[A]. 20[B]. 24
[C]. 30[D]. 33

Answer: Option B

Explanation:

Let the side of the square(ABCD) be x metres.

Then, AB + BC = 2x metres.

AC = 2x = (1.41x) m.

Saving on 2x metres = (0.59x) m.

Saving % = 0.59x x 100 % = 30% (approx.)
2x


P.Bharathi said: (Sat, Oct 2, 2010 10:58:36 PM)    
 
Saving on 2x metres = (0.59x) m.

How this step arise ? Please explain me clearly.

Sneha G.B said: (Tue, Jan 4, 2011 11:41:25 AM)    
 
saving 2x meters means......

2x-1.41x=0.59x

Ashu said: (Sat, Jan 15, 2011 01:16:14 AM)    
 
Use pyth. Theorem so you get the value of diagonal ac that is root 2 or 1. 41x. Now the distance saved by walking diagonally is 2x-1.41x i.e. 0.59x.

Sandeep said: (Thu, Jan 27, 2011 02:32:25 AM)    
 
Any other way to solve this problem ?

Kaps said: (Sat, Jun 11, 2011 07:21:45 AM)    
 
Easiest way told by ashu.

J.Gopikrishna said: (Wed, Jun 15, 2011 02:27:34 AM)    
 
Please tell easy way to solve the problem?

Suresh said: (Fri, Jun 17, 2011 06:17:15 AM)    
 
How Ac=root of2X?

Sumit said: (Thu, Jun 30, 2011 02:48:31 AM)    
 
1.41*1.41x=2x

Kb3 said: (Sun, Jul 17, 2011 12:41:57 AM)    
 
Let abcd be the square with each side of the square = 8m then

ab+bc=2 x 8= 16m
ac= sqrt(16)=4m

solving = 16-4= 12m

Hence, 4/12*100=33.33 approx.

Abhi said: (Mon, Nov 28, 2011 01:29:26 PM)    
 
IN a sqare let us assume the sides be 3, 4 units then the diagonal will be 5 by pythagorus theorem ..thus 2 units are saved (7-5) .. total saved %=2/7*100 =28.57 i e 30%

King Cobra said: (Wed, Dec 14, 2011 12:13:07 AM)    
 
Hey KB3. You are wrong. Solve by PYTHOGORUS theorem,,

From the fig shown above.
Root of AB square + BC square = AC.

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