A gallon of latex paint can cover 300 square feet.  Maria has a rectangular room whose dimensions are 16 feet by 25 ​feet, with 8​-foot ceilings.  How many gallon containers of paint does she need to buy to paint two coats on each​ wall?

To determine how many gallons of paint Maria needs, let's break down the problem step by step.

### Step 1: Calculate the total wall area to be painted
Maria's room has four walls, two of which are 16 feet wide and 8 feet tall, and the other two are 25 feet wide and 8 feet tall.

- **Area of two 16-foot by 8-foot walls**:
  \[
  2 \times (16 \times 8) = 2 \times 128 = 256 \text{ square feet}
  \]
- **Area of two 25-foot by 8-foot walls**:
  \[
  2 \times (25 \times 8) = 2 \times 200 = 400 \text{ square feet}
  \]

- **Total wall area**:
  \[
  256 + 400 = 656 \text{ square feet}
  \]

### Step 2: Calculate the total area for two coats of paint
Since Maria needs to paint two coats:

\[
656 \times 2 = 1312 \text{ square feet}
\]

### Step 3: Determine the number of gallons required
Each gallon of paint covers 300 square feet.

\[
\frac{1312}{300} \approx 4.37
\]

Since Maria cannot buy a fraction of a gallon, she will need to round up to the next whole number.

### Final Answer:
Maria needs to buy **5 gallons** of paint to cover the walls with two coats.

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Do you want more details or have any questions about this solution? Here are some related questions you might find useful:

1. How would the number of gallons change if the ceiling height was different?
2. What if Maria wanted to paint the ceiling as well?
3. How many gallons would be needed for a single coat of paint?
4. How does the paint coverage change if she uses a different type of paint with different coverage per gallon?
5. What if there were windows or doors in the room that reduced the wall area?

**Tip:** When painting, always buy slightly more paint than calculated to ensure you have enough for touch-ups.

Discover how many gallons of paint Maria needs to buy for her rectangular room with dimensions 16 feet by 25 feet and 8-foot ceilings. This problem involves calculating total wall area, considering two coats on each wall. Suitable for Grades 6-8.

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