Final answer:
To install wall-to-wall carpeting in a 12 feet by 17 feet room at $55 per square yard, first find the area in square feet (204 ft²), convert to square yards (22.67 yd²), and multiply by the cost per square yard to get an approximate total cost of $1246.85.
Step-by-step explanation:
To calculate the cost of installing wall-to-wall carpeting in a room that measures 12 feet by 17 feet at a cost of $55 per square yard, we first need to determine the total square footage of the room.
Then, we'll convert that to square yards since the cost is given per square yard and calculate the total cost.
The area of the room in square feet is calculated by multiplying the length by the width:
Area = length × width
= 12 ft × 17 ft
= 204 square feet
There are 9 square feet in a square yard. Therefore, we will divide the total square footage by 9 to get the area in square yards:
Area in square yards = 204 ft² / 9 ft²/yard²
= 22.67 square yards
To find the total cost, we multiply the area in square yards by the cost per square yard:
Total cost = area in square yards × cost per square yard
= 22.67 yards² × $55/yard²
The total cost will be approximately 22.67 × $55 = $1246.85.
Therefore, to install the carpet, you will spend a little over $4,000.