Question

Explain how to answer the question attached

Answer 1

150 meters

Explanation:

Use the Pythagorean Theorem to calculate this distance: L^2 + W^2 = D^2, where W is the width, L is the length and D is the diagonal length.

Here D^2 = 90^2 + 120^2 = 22500, and so D = √22500 = 150

The diagonal distance in question is 150 meters.

Answer 2

The players ran 150 meters

Explanation:

Pythagorean Theorem: a² + b² = c²

Since we have a rectangle with sides 90 and 120, we know if we split a diagonal across it, we will get a right triangle with legs 90 and 120. From there, we use Pythagorean Theorem to solve:

90² + 120² = c²

8100 + 14400 = c²

c² = 22500

√c² = √22500

c = 150