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A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
Answer & Solution
Correct Answer:
Option
C
Let the side of the square(ABCD) be x metres.
Then, AB + BC = 2x metres
AC =$$\sqrt 2 $$ x = (1.41x) m
Saving on 2x metres = (0.59x) m
$$\eqalign{ & {\text{Saving}}\,\% = \left( {\frac{{0.59x}}{{2x}} \times 100} \right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 30\% \,\left( {{\text{approx}}} \right) \cr} $$
Then, AB + BC = 2x metres
AC =$$\sqrt 2 $$ x = (1.41x) m
Saving on 2x metres = (0.59x) m
$$\eqalign{ & {\text{Saving}}\,\% = \left( {\frac{{0.59x}}{{2x}} \times 100} \right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 30\% \,\left( {{\text{approx}}} \right) \cr} $$
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