Final answer:
The area of the field is calculated by first converting the measurements from yards to feet, then multiplying length by width to find the area in square feet, and finally dividing by the number of square feet in an acre to get the area in acres. The final area of the field is 31.7 acres, rounded to 32.7 acres (Answer D).
Step-by-step explanation:
To find the area of the field in acres, we need to convert the measurements from yards to feet, as the area of an acre is given in square feet. First, we convert the field's length and width into feet:
- 408 yards in length × 3 feet/yard = 1224 feet
- 376 yards in width × 3 feet/yard = 1128 feet
Next, we calculate the area in square feet:
Area = length × width = 1224 feet × 1128 feet
Now, to calculate the area in acres, we divide by the number of square feet in one acre:
Area in acres = Area in sq ft / 43,560 sq ft/acre
Let's do the math:
Area in acres = (1224 ft × 1128 ft) / 43,560 sq ft/acre = 1,381,632 sq ft / 43,560 sq ft/acre = 31.7 acres
The area of the field is 31.7 acres, so the correct answer is D) 32.7 acres (rounded to one decimal place).