vivaslluis wrote:

Hello,

I've seen the following example that I have doubts to solve:

Which of the following best approximates the percent by which the distance from A to C along a diagonal of square ABCD reduces the distance from A to C around the edge of square ABCD?

a. 30%

b. 43%

c. 45%

d. 50%

e. 70%

Thank you

Le the side of a square be \(a\).

Route from A to C along a diagonal AC is \(\sqrt{2}a\approx{1.4a}\);

Route from A to C around the edge ABC is \(2a\);

Difference is \(2a-1.4a=0.6a\) --> \(\frac{0.6a}{2a}=0.3=30%\).

Answer: A.

i am confused about the denominator in the equation.