To solve this problem, we need to find the area of the rectangular floor in square feet (ft²), given:

• Dimensions of the floor: 6 yards (yd) long and 4 yards wide
• Conversion facts:
  • 1 yard (yd) = 3 feet (ft)

Step 1: Convert Dimensions from Yards to Feet

1. Length in feet: $6 \, \text{yd} \times 3 \, \text{ft/yd} = 18 \, \text{ft}$
2. Width in feet: $4 \, \text{yd} \times 3 \, \text{ft/yd} = 12 \, \text{ft}$

Step 2: Calculate the Area in Square Feet

The area $A$ of a rectangle is given by: $A = \text{length} \times \text{width}$ Substitute the values in feet: $A = 18 \, \text{ft} \times 12 \, \text{ft} = 216 \, \text{ft}^2$

Answer

The area of the floor is 216 square feet (ft²).

Would you like additional details on the calculation, or have any other questions?

Here are some related questions for practice:

1. If the floor was 8 yards long and 5 yards wide, what would the area be in square feet?
2. How would the area change if the width was doubled but the length remained the same?
3. Convert 216 square feet back into square yards.
4. If tile costs $3 per square foot, what would be the total cost to tile this floor?
5. What is the perimeter of this floor in feet?

Tip: Always double-check unit conversions to ensure accuracy in multi-step calculations.