To solve the problem, we need to calculate the area of the rectangular field in both square feet and square yards. Let's go step by step.

1. Convert Dimensions to Consistent Units

First, we convert the width of the field from feet to yards so that both dimensions are in the same unit.

• Length: 18 yards (already in yards)
• Width: 63 feet

Since 1 yard = 3 feet, we can convert the width to yards:

$\text{Width in yards} = \frac{63 \text{ feet}}{3 \text{ feet/yard}} = 21 \text{ yards}$

2. Calculate the Area in Square Yards

The area $A$ in square yards is calculated by multiplying the length and width in yards:

$A_{\text{yd}^2} = 18 \text{ yards} \times 21 \text{ yards} = 378 \text{ square yards}$

3. Calculate the Area in Square Feet

To find the area in square feet, we first convert the length from yards to feet:

$\text{Length in feet} = 18 \text{ yards} \times 3 \text{ feet/yard} = 54 \text{ feet}$

Now, calculate the area in square feet:

$A_{\text{ft}^2} = 54 \text{ feet} \times 63 \text{ feet} = 3402 \text{ square feet}$

Final Answers:

• The area of the field in square feet is 3,402 ft².
• The area of the field in square yards is 378 yd².

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

1. How would the area change if the width were doubled?
2. What is the perimeter of the field in both feet and yards?
3. If the field were a square with the same area, what would its side length be?
4. How many square feet are in one acre, and how many acres is this field?
5. How would you convert the area into square meters?

Tip: Always ensure units are consistent when calculating area to avoid errors in conversion.