The diagonal of a square equals √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, we can use the formula:

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

where \( s \) is the side length of the square.

Given that the side length \( s \) is 700 feet, we can substitute this value into the formula:

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

Using \( \sqrt{2} \approx 1.4 \):

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

Now, perform the multiplication:

\[ 700 \times 1.4 = 980 \]

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

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