# A person walked diagonally across a square plot.Approximately, what was the % saved by not walking along the edges?

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by hkumarks14

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by hkumarks14

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Let each side of square be x units

then length of diagonal by pythagoras theorem is root(2x^2)

so path covered by walking on diagonal is root2x^2

and path covered by walking on each side is 2x

so subtract 2x - root2x^2 divided by 2x and to get percentage multiply by 100

on simplification,u will get 1-1/root2 whole multiplied by 100,so answer should be

29.27%,still check the calculations,concept is correct from my side

then length of diagonal by pythagoras theorem is root(2x^2)

so path covered by walking on diagonal is root2x^2

and path covered by walking on each side is 2x

so subtract 2x - root2x^2 divided by 2x and to get percentage multiply by 100

on simplification,u will get 1-1/root2 whole multiplied by 100,so answer should be

29.27%,still check the calculations,concept is correct from my side

then length of diagonal by pythagoras theorem is root(2x^2)

so path covered by walking on diagonal is root2x^2

and path covered by walking on each side is 2x

so subtract 2x - root2x^2 divided by 2x and to get percentage multiply by 100

on simplification,u will get 1-1/root2 whole multiplied by 100,so answer should be

29.27%,still check the calculations,concept is correct from my side