Question

The distance between the goals on a soccer field is 52 meters. Each goal has a box that extends 5.49 meters into the field.What is the distance from the front of the box at one end of the field to the front of the box at the other end of the field?

How can I show my work?

Answer 1

41.02 meters.

Explanation:

See the attached diagram.

The distance between the goals of a soccer field is 52 meters. Each goal has a box that extends 5.49 meters into the field.

If the distance from the front of the box at one end of the field to the front of the box at the other end of the field is x meters, then we can write the equation as

5.49 + x + 5.49 = 52

⇒ x + 10.98 = 52

⇒ x = 41.02 meters. (Answer)