Question

A rectangular field is 70 meters wide and 95 meters long. A coach ask players to run from one corner to the opposite corner diagonally across the field. How much shorter is the diagonal of the field than its perimeter. Provide an answer accurate to the nearest tenth

Answer 1

The diagonal of the field is 118.6 meters and the perimeter is 330 meters.

The difference between the diagonal and the perimeter is 211.4 meters.

Step-by-step explanation:

To find the length of the diagonal of the field, we can use the Pythagorean Theorem.

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the width of the field is one side of the triangle, the length of the field is the other side, and the diagonal is the hypotenuse.

So, using the Pythagorean Theorem, the length of the diagonal is:

√(70^2 + 95^2)

= 118.6 meters.

The perimeter of the field is 2 * (length + width)

= 2 * (70 + 95)

= 330 meters.

Therefore, the difference between the diagonal and the perimeter is:

330 - 118.6

= 211.4 meters.