It costs $17 per square foot to buy and install a certain kind of tile on a floor. Find the cost of buying and installing that tile in a large rectangular room that measures 8.5 yards by 15 yards.

1 yard = 3 feet

8.5 * 3 = 25.5 feet
15 * 3 = 45 feet

A = 45 * 25.5
A = 1147.5 square feet

1147.5 * 17 = ?

To find the cost of buying and installing the tile in the rectangular room, we need to calculate the total area of the floor and then multiply it by the cost per square foot.

1. First, let's convert the dimensions of the room from yards to feet. Since 1 yard is equal to 3 feet, we multiply each dimension by 3 to convert them to feet.
- Length = 8.5 yards * 3 feet/yard = 25.5 feet
- Width = 15 yards * 3 feet/yard = 45 feet

2. Next, calculate the area of the floor by multiplying the length by the width:
- Area = Length * Width = 25.5 feet * 45 feet = 1,147.5 square feet

3. Finally, multiply the area by the cost per square foot to find the total cost of buying and installing the tile:
- Total Cost = Area * Cost per square foot = 1,147.5 square feet * $17/square foot = $19,468.50

Therefore, the cost of buying and installing the tile in the large rectangular room measuring 8.5 yards by 15 yards would be $19,468.50.