Final answer:
The question involves converting units for dimensions of a field and calculating its area and perimeter. One dimension must be converted to match the other (63 feet to 21 yards), then the area (567 square yards) and the perimeter (288 feet) can be calculated using the standard formulas.
Step-by-step explanation:
The student's question pertains to the conversion of units and calculation of area and perimeter for a rectangular field. To address each of the presented options individually:
- Option A: Convert one of the dimensions to the same unit as the other. Here, we can convert the width of the field from feet to yards, knowing that 1 yard is equal to 3 feet. Thus, 63 feet divided by 3 equals 21 yards.
- Option B: Calculate the area of the field in square yards. The area is calculated by multiplying the length by the width. With the converted width (21 yards) and the given length (27 yards), the area is 27 yards × 21 yards, which equals 567 square yards.
- Option D: Calculate the perimeter of the field in feet. The perimeter is calculated by adding together the lengths of all sides. Since we already have the width in feet, we need to convert the length from yards to feet (27 yards × 3 feet per yard = 81 feet). The formula for perimeter P is: P = 2 × (length in feet + width in feet) = 2 × (81 feet + 63 feet) = 288 feet.