Question

1. a carpet cleaner charges $0.70 per square foot to clean carpet. in the next house she is going to clean, the living room measures 18 feet by 24 feet. how much will she charge?

a. $122.40
b. $58.80
c. $258.40
d. $302.40

Explanation:

Step1: Calculate the area of the living room

The area of a rectangle is \(A = length\times width\). Here, \(length = 24\) feet and \(width=18\) feet. So, \(A=24\times18 = 432\) square - feet.

Step2: Calculate the cost

The cost per square - foot is \(\$0.70\). The total cost \(C\) is \(C=0.70\times A\). Substitute \(A = 432\) into the formula: \(C=0.70\times432=(0.7\times400)+(0.7\times32)=280 + 22.4=\$302.40\)

Answer:

D. \(\$302.40\)