Aptitude - Area - Discussion
Discussion Forum : Area - General Questions (Q.No. 8)
8.
A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
Answer: Option
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 |
Discussion:
38 comments Page 2 of 4.
Atul jain said:
1 decade ago
Let we have a square. starting from left top to right A,B,C,D.
After that make a diagonal AC.
As we know that we don't know the side of square then we assume x.
Now we start to run from A to C then path is AB+BC and its value,
is x+x = 2x.
Then equation is AB+BC = 2x.
Now the diagonal of the square formula is,
d = square root of 2 x.
d = 1.41x.
Saving per cent is ((2x-1.41x)/2x)*100 .
29.5. approx 30.
After that make a diagonal AC.
As we know that we don't know the side of square then we assume x.
Now we start to run from A to C then path is AB+BC and its value,
is x+x = 2x.
Then equation is AB+BC = 2x.
Now the diagonal of the square formula is,
d = square root of 2 x.
d = 1.41x.
Saving per cent is ((2x-1.41x)/2x)*100 .
29.5. approx 30.
(1)
Amit Kumar Swain said:
1 decade ago
According to Pythagoras the side are 3&4 or diagonal 5.
Edges are 7 then 7-5=2 (Different).
(2/7)=(x/100).
Solve x=28.57142857 (i.e approximately 30).
Edges are 7 then 7-5=2 (Different).
(2/7)=(x/100).
Solve x=28.57142857 (i.e approximately 30).
P.bharathi said:
1 decade ago
Saving on 2x metres = (0.59x) m.
How this step arise ? Please explain me clearly.
How this step arise ? Please explain me clearly.
Ashu said:
1 decade ago
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:
1 decade ago
Any other way to solve this problem ?
Kaps said:
1 decade ago
Easiest way told by ashu.
Riya said:
7 years ago
@All.
Along the edges, that means more than one side, so how come it has been decided that it is only 2 sides? Solution has been given only for 2 sides. Why?
Why it can't be 4 sides?
Along the edges, that means more than one side, so how come it has been decided that it is only 2 sides? Solution has been given only for 2 sides. Why?
Why it can't be 4 sides?
J.Gopikrishna said:
1 decade ago
Please tell easy way to solve the problem?
Suresh said:
1 decade ago
How Ac=root of2X?
Ramakanth said:
8 years ago
Please tell me an easy way to solve the problem with the clear explanation.
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