a. Find the total area to be painted. b. Each quart of paint costs \( \$ 8 \) and covers 90 square feet. Find the cost to paint this wall once. Justify your answer.

To solve the problem, we need to follow these steps: ### Step 1: Find the total area to be painted. Assuming we are dealing with a rectangular wall, we need the dimensions of the wall (height and width) to calculate the area. Let's denote: - \( h \) = height of the wall (in feet) - \( w \) = width of the wall (in feet) The area \( A \) of the wall can be calculated using the formula: \[ A = h \times w \] ### Step 2: Calculate the cost to paint the wall once. 1. **Determine the coverage of paint**: Each quart of paint covers 90 square feet. 2. **Calculate the number of quarts needed**: To find the number of quarts required to paint the wall, we can use the formula: \[ \text{Quarts needed} = \frac{A}{90} \] 3. **Calculate the total cost**: Since each quart costs \( \$8 \), the total cost \( C \) can be calculated as: \[ C = \text{Quarts needed} \times 8 \] Now, let's summarize the calculations. If you provide the dimensions of the wall, I can compute the total area and the cost to paint it. Please provide the height and width of the wall.