Final answer:
The width of the football field is approximately 62.4 yards, and the length is 112.4 yards. When converted to meters, the length of a standard football field is approximately 91.4 meters.
Step-by-step explanation:
The question refers to finding the width and length of a football field where the length is 50 yards longer than the width and the diagonal is 125 yards.
We use the Pythagorean theorem to form the equation w² + (w + 50)² = 125², where w is the width of the field. Solving this equation for w, we find that the width of the field is approximately 62.4 yards, making the length 62.4 + 50 = 112.4 yards.
To convert the standard football field length from yards to meters, we use the conversion factor where 1 meter equals 3.281 feet. Since there are 3 feet in a yard, 100 yards is equal to 300 feet. Therefore, the length in meters is approximately 300 feet ÷ 3.281 feet/meter ≈ 91.4 meters.