Question

A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the feild in a diagonal line to the opposite corner how far did the player run round your answer to the nearest meter

Answer 1

Answer and Step-by-step explanation::

The player runs from one corner of the rectangular football field to the opposite corner in a diagonal line. To determine the distance the player runs, 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 other two sides.

In this case, the width of the field is 64 meters and the length is 100 meters. These two sides form the legs of the right triangle, and the diagonal line the player runs forms the hypotenuse.

To find the length of the hypotenuse (the distance the player runs), we can use the Pythagorean theorem:

1. Calculate the square of the width: 64^2 = 4096.

2. Calculate the square of the length: 100^2 = 10000.

3. Add the squares of the width and length: 4096 + 10000 = 14096.

4. Take the square root of the sum to find the length of the hypotenuse: √14096 ≈ 118.85 meters.

Therefore, the player runs approximately 119 meters.