Discussion
A man walked diagonally across a square ground. Approximately, what was the percentage saved by not walking along the edges?
Answer: C
About 30% is saved.
For a square of side \(a\), walking along two edges covers \(2a\) and walking the diagonal covers \(\sqrt{2}a \approx 1.414a\):
\[ \begin{aligned} \text{saving} &= \frac{2a - 1.414a}{2a} \\ &= \frac{0.586}{2} \approx 29.3\% \end{aligned} \]
which rounds to 30%. The other options are too small: 20%, 15% or 12% would need the diagonal to be 1.6, 1.7 or 1.76 times the side, but it is only 1.414 times.
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