The diagonal of a square equals V 2 times the side length. Using 1.4 for the square root of 2, what is the approximate length in feet from one corner to an opposite corner of a square park that is 700 feet on a side?

Answer 1

To find the length of the diagonal of a square given the side length, we use the formula:

\[ \text{Diagonal} = \text{side} \times \sqrt{2} \]

Given that the side length of the square park is 700 feet, we can substitute that into the formula:

\[ \text{Diagonal} = 700 \times \sqrt{2} \]

Using the approximation given for \(\sqrt{2}\), which is 1.4:

\[ \text{Diagonal} = 700 \times 1.4 \]

Now, we can perform the multiplication:

\[ \text{Diagonal} = 980 \]

Therefore, the approximate length from one corner to the opposite corner of the square park is

\[ \boxed{980} \text{ feet.} \]