Question

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

• A. $20\%$
• B. $24\%$
• C. $30\%$
• D. $33\%$

Answer 1

Answer: (C)

$30\%$

Let the side of the square $\left(ABCD\right)$ be $x$ meters.

Then, $AB+BC=2x$ meters

$\Rightarrow AC=\sqrt{2}x=1.41x$ meters

Saving in $2x$ meters $=\left(0.59x\right)$ m.

Saving $\%$ $=\frac{0.59x}{2x}\times 100=30\%$ approx.