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.
Namrata said:
1 decade ago
I will go with @Ajay's method where he took side as 10 instead of variable.
Because is you take variable you go land up in confusion.
AC = Root of (2x).
Root of 2 = 1.41.
But what about root of x?
Because is you take variable you go land up in confusion.
AC = Root of (2x).
Root of 2 = 1.41.
But what about root of x?
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?
Abhi said:
1 decade ago
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%
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).
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.
KB3 said:
1 decade ago
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.
ab+bc=2 x 8= 16m
ac= sqrt(16)=4m
solving = 16-4= 12m
Hence, 4/12*100=33.33 approx.
Navaneeth said:
9 years ago
If that person walked along edges. Approximately, what was the percent wasted by walking along the edges?
Please give me the answer.
Please give me the answer.
Arpit jain said:
1 decade ago
Hey kb3 u have used wrong formula
its (square root of 2)*(X)
ab+bc = 16m
sqrt(2)*8 = 11.313
16-11.313 = 4.68
(4.68*100)/16 = 29.28%
its (square root of 2)*(X)
ab+bc = 16m
sqrt(2)*8 = 11.313
16-11.313 = 4.68
(4.68*100)/16 = 29.28%
King cobra said:
1 decade ago
Hey KB3. You are wrong. Solve by PYTHOGORUS theorem,,
From the fig shown above.
Root of AB square + BC square = AC.
From the fig shown above.
Root of AB square + BC square = AC.
Pragnya said:
1 decade ago
Please can anyone explain the last step in the solution? Which formula has been used there?
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