A man walked diagonally across a square plot. Approximately what was the percent saved by not walking along the edges?

A 10%

B 20%

C 30%

D 40%

Correct Answer: Option C

let the side of the square be x meters
length of two sides = 2x meters
diagonal = \(\sqrt{2x}\) = 1.414x m

saving on 2x meters = .59x m

saving % = \(\frac{0.59x}{2x}\ast100\)%

= 30% (approx)