Question

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

A) 10% B) 20% C) 30% D) 40%

Answer 1

question

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

solution

c) 30%

Consider a square plot as shown above.

Let length of each side 1

Then, length of the diagonal =√12+12=√2

Distance travelled if walked along the edges

= BC + CD =1+1=2

Distance travelled if walked diagonally= BD

=√2=1.41

Distance saved =2−1.41=0.59

Percent distance saved=(0.592×100)%≈30%

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