Certainly, let's go step-by-step to determine the total cost of the banner before tax.
1. Identify the given values:
- We know the base of the parallelogram is 10 feet.
- We know the height of the parallelogram is 8 feet.
- The cost per square foot for the banner is [tex]$1.10.
2. Calculate the Area of the Parallelogram:
- The formula for the area \( A \) of a parallelogram is:
\[
A = \text{base} \times \text{height}
\]
- Given the base is 10 feet and the height is 8 feet, we substitute these values into the formula:
\[
A = 10 \text{ feet} \times 8 \text{ feet} = 80 \text{ square feet}
\]
3. Calculate the Total Cost:
- The total cost \( C \) of the banner is the area multiplied by the cost per square foot.
- Given the area is 80 square feet and the cost per square foot is $[/tex]1.10, we have:
[tex]\[
C = 80 \text{ square feet} \times 1.10 \text{ dollars/square foot} = 88.0 \text{ dollars}
\][/tex]
4. Compare with Given Options:
- The calculated cost of [tex]$88.0 matches one of the provided options.
Therefore, the approximate cost of the banner before tax is:
\[
\$[/tex] 83.90
\]
