Question

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

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

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


Then, AB + BC = 2x meters.
AC = $\sqrt{2}$x = (1.41 x)m.
Saving on 2x meters = (0.59 x) m
Saving $\%$ = $\left\{\frac{0.59x}{\left(2x\right)}\right\}\times 100\%$
= $30\%$ approx.