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

A. 20%

B. 24%

C. 30%

D. 33%

Solution:

Let the side of the square(ABCD) be x metres.
Then, AB + BC = 2x metres
Area mcq solution image

AC =

\sqrt{2}

x = (1.41x) m
Saving on 2x metres = (0.59x) m

\begin{aligned} Saving % = (\frac{0.59 x}{2 x} \times 100) % \\ = 30 % (approx) \end{aligned}

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