Question

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

Answer 1

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

Answer 2

the answer will be 30%. actual answer is 29.27%