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

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

A 30

B 40

C 50

D 70

Solution

Correct Answer: Option A

Let the side of the square(ABCD) be x meters.

Then, AB + BC = 2x metres.

AC = \(\sqrt{2x}\)

= (1.41x) m.

Saving on 2x metres = (0.59x) m.

Saving % = \(\frac{0.59x}{2x}\ast100\) = 30% (approx)