Question

A boy walks diagonally across a square lot. What percent does he save by not walking along the edges (approximately)?

• A. 22
• B. 29
• C. 33
• D. 20
• E. 24

Answer 1

The correct option is B 29

Let the side length of square lot be $a$
When a boy walks through diagonal, the distance covered is $\sqrt{2}a$
When a boy walks through sides, the distance traveled is $2a$
So, he saves $\frac{(2-\sqrt{2})a}{2a}\times 100=\frac{(2-\sqrt{2})}{2}\times 100=29$ percent