Marco is 350 m due east of the centre of the park. His friend Ray is 350 m due south of the centre of the park. Which is the correct expression for the exact distance between the two boys?

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To find the exact distance between the two boys, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this scenario, we can imagine a right triangle formed by connecting Marco, Ray, and the center of the park. The distance between Marco and Ray represents the two perpendicular sides of the triangle, and the exact distance between them is the length of the hypotenuse.

Since Marco is 350 m due east of the center, and Ray is 350 m due south of the center, the length of the two perpendicular sides of the triangle is 350 m each.

Therefore, using the Pythagorean theorem, the expression for the exact distance between the two boys is:

√((350)^2 + (350)^2)