Question

a potential client has asked you to prepare an estimate for cleaning the wall - to - wall carpet in an office that is 14 feet long and 12 feet wide. you charge $0.65 per square foot of carpet. what price should you quote for cleaning the carpet?

a. $16.90
b. $33.80
c. $109.20
d. $168.00
e. $258.46

Explanation:

Step1: Calculate carpet area

The area $A$ of a rectangle is $A = l\times w$, where $l = 14$ feet and $w = 12$ feet. So $A=14\times12 = 168$ square - feet.

Step2: Calculate the price

The charge is $0.65$ dollars per square - foot. So the total price $P$ is $P=0.65\times A$. Substitute $A = 168$ into the formula, we get $P = 0.65\times168=109.2$ dollars.

Answer:

C. $\$109.20$