Question

Carpet is installed in the hallways of a building. The cost of carpet and installation is $32.50 per square yard. A total length of 432.0 feet of carpet 5.0 feet wide is required. What is the total cost of carpet and installation? (Number of square feet = length in feet × width in feet)

Answer 1

Answer:

$Total = \ 7800$

Step-by-step explanation:

Given

$Cost = \ 32.50$ per square yard

$Length = 432.0ft$

$Width = 5.0ft$

Required

Determine the cost of carpet and installation

First, calculate the area of the carpet

$Area = Length * Width$

$Area = 432.0ft * 5.0ft$

$Area = 2160ft^2$

Convert to square yard

$Area = \frac{2160yd^2}{9}$

$Area = 240yd^2$

The cost is then calculated as:

$Total= Area * Unit\ Cost$

$Total = 240 * \ 32.50$

$Total = \ 7800$