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

`Total = \$7800`

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 = (2160yd^2)/(9)`

`Area = 240yd^2`

The cost is then calculated as:

`Total= Area * Unit\ Cost`

`Total = 240 * \$32.50`

`Total = \$7800`