Question

If the paint costs $5.85 per gallon, what is thetotal cost of the paint needed to cover the wall?Subject: Area: Measuring the Space Inside a Rectangle

Answer 1

In the question, we are already aware that the wall is 12ft high. We also know that the wall is 175ft long. In addition, we have that one gallon paints 300 square feet and the paint costs $5.85 per gallon.

We are asked to find the total cost of the paint needed to cover the wall.

Step-by-step explanation

First, we need to find the area of the wall covers.

`\text{Area}=12\text{ x175 =2100ft}^2`

Next, we find the number of gallons needed to paint the above area. Let's call the number needed to paint the 2100 square feet as x

`\begin{gathered} 1gallon\Rightarrow300ft^2 \\ x\Rightarrow2100ft^2 \\ \therefore x=(2100)/(300) \\ x=7gallons \end{gathered}`

With the value of the gallons, we can get the total cost of paints that would be bought.

`\begin{gathered} \text{Total cost = 7 x5.85} \\ =\text{ \$40.95} \end{gathered}`

Answer: $40.95