Q51. - Algebra 1

Question

SHORT RESPONSE Henry is painting a room with four walls that are 12 feet by 14 feet. A Gallon of paint costs $18 and covers 350 square feet. If he uses two coats of paint, how much will it cost him to paint the room?

Step-by-Step Solution

Answer

The total cost to paint the room is $69.12.

Step 1. Use the definition of a rectangle’s perimeter.

For a rectangle perimeter is the sum of the lengths of all its sides, thus we add two lengths and two breadths to find the perimeter of the rectangle. 

The area of a rectangle is length multiplied by breadth.

Step 2. Write given information.

We are given that; there are 4 walls in a room that are 12 feet by 14 feet.

And a gallon of paint costs $18 and covers 350 square feet. Also, Henry uses two coats of paint.

The total area of the 4 walls is : $4\times 12\times 14=672$ square feet. 

The cost per square feet is : $\frac{\$18}{350}$  

Step 3. Find the cost.

The total cost for painting 4 walls once is thus: 

 $672\times \frac{\$18}{350}$

Since Henry USES TWO coats we multiply this cost by 2 to get the total cost of painting 4 walls with two coats:

 $\begin{array}{l}672\times \frac{\$18}{350}\times 2\\ =\$69.12\end{array}$

Thus, the total cost to paint the room is $69.12.