A room 13.75 feet wide and 28.5 feet long is carpeted. The cost is $31.10 per square yard, and the installation cost is $167.00. What is the total cost to carpet the room? Round the answer to 2 decimal places.

Answer 1

First we need to convert the width and length of the room to yards. Since there are 3 feet in a yard, the width of the room is $13.75 \text{ feet} \div 3 \text{ feet/yard} = 4.58 \text{ yards}$.

The length of the room is $28.5 \text { feet} \div 3 \text{ feet/yard} = 9.5 \text{ yards}$.

The area of the room is $4.58 \text{ yards} \times 9.5 \text{ yards} = 43.51 \text{ square yards}$.

The cost to carpet the room is therefore $43.51 \text{ square yards} \times \$31.10/\text{square yard} = \$1352.21$.

Adding the installation cost, the total cost to carpet the room is $\$1352.21 + \$167.00 = \$\boxed{1519.21}$.