Question

A soccer field is a rectangle 60 meters wide and 110 meters long. The coach asks players to run from one corner of the grass field to the opposite corner. How many yards will the players have to run?
A.125 yards
B.105 yards
C.85 yards
D.65 yards

Answer 1

Answer:

A

Step-by-step explanation:

A soccer field is a rectangle 60 meters wide and 110 meters long. The coach asks players to run from one corner of the grass field to the opposite corner. The path from one corner of the grass field to the opposite corner is the diagonal of the rectangular field.

The width, the length and the diagonal of the rectangular field form right triangle. By the Pythagorean theorem,

$\text{Diagonal}^2=\text{Width}^2+\text{Length}^2\\ \\\text{Diagonal}^2=60^2+110^2\\ \\\text{Diagonal}^2=3,600+12,100\\ \\\text{Diagonal}^2=15,700\\ \\\text{Diagonal}=\sqrt{15,700}\approx 125\text{ yd}$