Final answer:
To calculate the area of the sports field, multiply the scale drawing dimensions by the scale factor to get the real dimensions in yards, then calculate the area. The correct area is 64,800 square yards.
Step-by-step explanation:
The student has a scale drawing of a sports field where 1 inch represents 20 yards. The diagram is 54 inches long and 3 inches wide. To find the area of the actual sports field, we need to multiply these dimensions by the scale factor.
The length in yards is 54 inches × 20 yards per inch = 1080 yards.
The width in yards is 3 inches × 20 yards per inch = 60 yards.
Now we calculate the actual area:
- Area = Length × Width
- Area = 1080 yards × 60 yards
- Area = 64,800 square yards
Therefore, the area of the sports field is 64,800 square yards.