Question

A square park has a diagonal walkway from one corner to another. If the walkway is about 38 yards long,

what is the approximate length of each side of the park?
Round to two decimal places.

Answer 1

The length of the side of the square is 26.87 yards

Explanation:

The sides of the square and the diagonal will form an Isosceles right angled triangle

Let the length of the side be x

From Pythagoras’ theorem, the square of the side of the hypotenuse is equal to the sum of the squares of the two other sides

x^2 + x^2 = 38^2

2x^2 = 1,444

x^2 = 722

x = square root of 722

x = 26.87 yards