The diagonal of a square equals the square root of 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?
The diagonal of a square can be found by multiplying the side length by the square root of 2.
In this case, we have the side length of the square park as 700 feet.
So, the diagonal is equal to 700 * (square root of 2) = 700 * 1.4.
Calculating this, we get:
700 * 1.4 = 980 feet.
The approximate length from one corner to an opposite corner of the square park is 980 feet.
To find the approximate length from one corner to an opposite corner of a square park, we can use the formula for the diagonal of a square:
diagonal = side length * square root of 2
Given that the side length is 700 feet, and using 1.4 as an approximation for the square root of 2, we can substitute these values into the formula:
diagonal = 700 feet * 1.4
Calculating the value, we get:
diagonal ≈ 980 feet.
Therefore, the approximate length from one corner to an opposite corner of the square park is 980 feet.
To find the length of the diagonal of a square, we can use the relationship you provided: the diagonal is equal to the square root of 2 times the side length.
Given that the side length of the square park is 700 feet, we need to calculate the length of the diagonal.
Step 1: Multiply the side length by the square root of 2.
700 feet × 1.4 ≈ 980 feet
Therefore, the approximate length from one corner to an opposite corner of the square park is approximately 980 feet.