To determine the cost to carpet a rectangular floor measuring 15 feet by 12 feet, given that the carpet costs [tex]$29.32 per square yard, we'll follow these steps:
1. Convert the dimensions from feet to yards:
- Recall that 1 yard equals 3 feet.
- Length: The floor's length in yards is calculated by taking the length in feet (15 feet) and dividing by 3. Therefore, the length in yards is 15 / 3 = 5 yards.
- Width: The floor's width in yards is calculated by taking the width in feet (12 feet) and dividing by 3. Therefore, the width in yards is 12 / 3 = 4 yards.
2. Calculate the area in square yards:
- The area of the rectangular floor is obtained by multiplying the length by the width.
- Area in square yards = Length in yards × Width in yards = 5 yards × 4 yards = 20 square yards.
3. Calculate the total cost to carpet the floor:
- The cost to carpet the floor is found by multiplying the area of the floor in square yards by the cost of the carpet per square yard.
- Total cost = Area in square yards × Cost per square yard = 20 square yards × $[/tex]29.32 per square yard = [tex]$586.40.
Therefore, it will cost $[/tex]586.40 to carpet the floor.
