https://file.aiquickdraw.com/mathbot/file/1730498862873n2lxul6d.jpg

To find the total surface area of the four walls in this living room, we need to calculate the area of each wall and then add them together.

### Given Dimensions
- Length of the room = 12 feet
- Width of the room = 16 feet
- Height of the ceiling = 10 feet

### Step-by-Step Solution
1. **Calculate the area of the two longer walls:**
   - Each of the two longer walls has a width of 16 feet and a height of 10 feet.
   - Area of one longer wall = \(16 \, \text{feet} \times 10 \, \text{feet} = 160 \, \text{square feet}\).
   - Total area for both longer walls = \(2 \times 160 = 320 \, \text{square feet}\).

2. **Calculate the area of the two shorter walls:**
   - Each of the two shorter walls has a length of 12 feet and a height of 10 feet.
   - Area of one shorter wall = \(12 \, \text{feet} \times 10 \, \text{feet} = 120 \, \text{square feet}\).
   - Total area for both shorter walls = \(2 \times 120 = 240 \, \text{square feet}\).

3. **Add the areas of all four walls:**
   - Total surface area = \(320 + 240 = 560 \, \text{square feet}\).

### Final Answer
The total surface area of the four walls is **560 square feet**.

Would you like further details on any of the steps, or do you have additional questions?

---

Here are five related questions to deepen your understanding:
1. How would the total surface area change if the height of the ceiling was 12 feet instead of 10 feet?
2. If the room had a window that took up 30 square feet on one of the walls, how would you adjust the total wall area?
3. How would you calculate the paint needed if one gallon covers 400 square feet?
4. What would be the total surface area if one wall was missing, like in an open-plan room?
5. How would the area change if the room had an L-shape instead of a rectangular shape?

**Tip:** When calculating the surface area of a room, remember to measure only the walls you need, and watch out for any elements like windows or doors that might reduce the surface area to be painted or covered.

A living room is 12 feet long and 16 feet wide. If the ceiling is 10 feet high, what is the total surface area of the four walls?

Learn how to calculate the total surface area of the four walls in a living room with dimensions of 12 feet by 16 feet and a ceiling height of 10 feet. This geometry problem involves calculating the area of rectangles and adding them up for the total wall surface area. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation