Question

6. Kelly put in a driveway 15 feet by 40 feet. If it cost him $3.50 persquare foot, how much did he pay for the driveway?a.b.C.$525$475$2100

Answer 1

We will investgate the cost of a driveway on square foot basis.

A driveway is modeled as a rectangle with elementary side lengths defined as follows:

`\begin{gathered} \text{Length ( L ) = 40 ft} \\ \text{Width ( w ) = 15 ft} \end{gathered}`

The rate for contructing a driveway per square foot is gvien as follows:

`\text{Rate = }\frac{\text{\$}3.5}{ft^2}`

To determine the total cost of the driveway with the defined side lengths we need to consider the area ( A ) covered by the entire driveway. We will model the driveway in shape of a rectangle with the following area:

`A\text{ = L}\cdot w`

Plug in the respective side-lengths and determine the area ( A ) as follows:

`\begin{gathered} A\text{ = 40}\cdot15 \\ A=600ft^2 \end{gathered}`

Next we will determine the total cost of constructing a driveway with a covered area ( A ) as follows:

`\text{Cost of driveway = A}\cdot Rate`

Plug in the respective quantities and evaluate the cost or the amount Kelly pays:

`\begin{gathered} Costofdriveway=600ft^2\cdot(3.5)/(ft^2) \\ \\ \text{Cost of driveway = \$2,100 } \end{gathered}`

Hence, Kelly pays $2,100!