Aptitude - Area - Discussion

If we go diagonal means a square cut in between gives a triangle
so a total 3 sides.
let's say 2 sides and 1 hypotenuse.

Let sides = x.
x + x = hypotenuse^2.
2x = hypotenuse^2.

This power 2 becomes root on the other side.
√ 2x is = hypotenuse.
√ 2x is 1.414x.

So now, in 2x we minus 1.414x gives us 0.59x // we do this because we calculate the total distance here.

The maximum distance was 2x but we traveled only 1.414x so 0.59 x distance was extra so we used that further.

The remaining distance/total distance to the percentage.
which is,
0.59X/2X * 100
= 30%.

Hope you got it.

@All.

Here is the solution.

Let side of squares be "5" on alll sides.
so area=5*5 = 25,
so: AB2 = 5*5 =25,
AD2 = 5*5 =25.

pythogorus: AC2 = AB2+BC2.
AC2 = 25+25.
AC = root(50).
AC = 7.07.

Now,
= AC/areax100.
= 7.07/25 x100 = 28.48~ 30 ans.

@Riya.

Name the sqaure as ABCD. The person is moving from A to C (diagonally) instead of AB + BC (along the edges). As we can see the souce is point A and the destination is point C.

We actually need to find how much distance (edges) he saved by chosing to move from displacement (daigonally) aprt.

Why do we take the percentage over 2x rather than 1.41x?

@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?

Savings on 2xmeters = (0.59x)meter how?

let us assume the side of square is 10 cm.
In a square all sides are equal.

To find the diagonal of a square we can use the following formula= Squareroot of (2*(side^2)).

In this case= Square root of (2*(10^2)) = 14.142.
Distance Traveled=14.142.
Distance if used the edge of the square= 10*2= 20.
Saving=20-14.142=5.858.
Saving in %=5.858/20 =30%.

Please tell me an easy way to solve the problem with the clear explanation.

@Amit kumar. How the edges are 7?

If that person walked along edges. Approximately, what was the percent wasted by walking along the edges?

Please give me the answer.