Sure, let's solve this problem step-by-step.
1. Identify the dimensions of the room:
- Length of the room = 8 feet
- Width of the room = 15 feet
2. Calculate the area of the room:
The area of a rectangle is given by the formula:
[tex]\[
\text{Area} = \text{Length} \times \text{Width}
\][/tex]
Substituting the given values:
[tex]\[
\text{Area} = 8 \, \text{feet} \times 15 \, \text{feet} = 120 \, \text{square feet}
\][/tex]
3. Determine the cost per square foot of carpeting:
- Cost per square foot = [tex]$2.75
4. Calculate the total cost to carpet the room:
The total cost is found by multiplying the area of the room by the cost per square foot:
\[
\text{Total Cost} = \text{Area} \times \text{Cost per square foot}
\]
Substituting the values we found:
\[
\text{Total Cost} = 120 \, \text{square feet} \times \$[/tex]2.75 \, \text{per square foot} = \[tex]$330
\]
So, the total cost to carpet the room is $[/tex]330.
