Answer: Option B

Answer : Option B

Explanation :

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Solution 1
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Consider a square plot as shown above and let the length of each side = 1

$MF#%\text{Then length of the diagonal = }\sqrt{(1+1)} = \sqrt{2}$MF#%

Distance travelled if walked along the edges = BC + CD = 1 + 1 = 2

$MF#%\text{Distance travelled if walked diagonally = BD = }\sqrt{2} = 1.41$MF#%

Distance Saved = 2 - 1.41 = .59

$MF#%\text{Percent distance saved = }\dfrac{.59}{2} \times 100 = .59 \times 50 \approx 30 \%$MF#%

--------------------------------------------------------- Solution 2 ---------------------------------------------------------

Consider a square plot as shown above and let the length of each side = x

$MF#%\text{Then length of the diagonal = }\sqrt{(x+x)} = \sqrt{2x}$MF#%

Distance travelled if walked along the edges = BC + CD = x + x = 2x

$MF#%\text{Distance travelled if walked diagonally = BD = }\sqrt{2x} = 1.41x$MF#%

Distance Saved = 2x - 1.41x = .59x

$MF#%\text{Percent distance saved = }\dfrac{.59x}{2x} \times 100 = .59 \times 50 \approx 30 \%$MF#%