Question

A person walked diagonally across a square plot of side 1 m. Approximately, what was the percent saved by not walking along the edges?

• A. 35
• B. 30
• C. 25
• D. 20

Answer 1

The correct option is B

30

Consider a square plot as shown above.
Length of each side =1=1
Then, length of the diagonal = $\sqrt{1^2+1^2}=\sqrt{2}$
Distance travelled if walked along the edges
$=BC+CD=1+1=2$
Distance travelled if walked diagonally
$=BD=\sqrt{2}=1.41$
Distance saved =2−1.41=0.59
Percent distance saved
$=0.592\times \frac{100}{2}=0.59\times 50\approx 30$