To solve the problem of finding the total area of the house, we need to calculate the area of each individual room and then sum them up. The area of a rectangle is calculated using the formula:
\[
\text{Area} = \text{Length} \times \text{Width}
\]
Let's break it down step by step:
1. Bedroom 1
- Dimensions: \(8 \, \text{m} \times 5 \, \text{m}\)
- Area: \(8 \times 5 = 40 \, \text{m}^2\)
2. Bedroom 2
- Dimensions: \(8 \, \text{m} \times 5 \, \text{m}\)
- Area: \(8 \times 5 = 40 \, \text{m}^2\)
3. Bedroom 3
- Dimensions: \(8 \, \text{m} \times 5 \, \text{m}\)
- Area: \(8 \times 5 = 40 \, \text{m}^2\)
4. Bathroom
- Dimensions: \(4 \, \text{m} \times 5 \, \text{m}\)
- Area: \(4 \times 5 = 20 \, \text{m}^2\)
5. Toilet
- Dimensions: \(4 \, \text{m} \times 5 \, \text{m}\)
- Area: \(4 \times 5 = 20 \, \text{m}^2\)
6. Hallway
- Dimensions: \(19 \, \text{m} \times 4 \, \text{m}\)
- Area: \(19 \times 4 = 76 \, \text{m}^2\)
7. Store
- Dimensions: \(7 \, \text{m} \times 6 \, \text{m}\)
- Area: \(7 \times 6 = 42 \, \text{m}^2\)
8. Dining Room
- Dimensions: \(10 \, \text{m} \times 7 \, \text{m}\)
- Area: \(10 \times 7 = 70 \, \text{m}^2\)
9. Laundry
- Dimensions: \(2 \, \text{m} \times 4 \, \text{m}\)
- Area: \(2 \times 4 = 8 \, \text{m}^2\)
10. Kitchen
- Dimensions: \(9 \, \text{m} \times 2 \, \text{m}\)
- Area: \(9 \times 2 = 18 \, \text{m}^2\)
11. Additional Kitchen Section
- Dimensions: \(3 \, \text{m} \times 2 \, \text{m}\)
- Area: \(3 \times 2 = 6 \, \text{m}^2\)
12. Additional Hallway Section
- Dimensions: \(4 \, \text{m} \times 4 \, \text{m}\)
- Area: \(4 \times 4 = 16 \, \text{m}^2\)
13. Additional Dining Room Section
- Dimensions: \(5 \, \text{m} \times 2 \, \text{m}\)
- Area: \(5 \times 2 = 10 \, \text{m}^2\)
Summing Up All Areas
Now, let's add up all the areas:
\[
\begin{align*}
\text{Bedroom 1} & = 40 \, \text{m}^2 \\
\text{Bedroom 2} & = 40 \, \text{m}^2 \\
\text{Bedroom 3} & = 40 \, \text{m}^2 \\
\text{Bathroom} & = 20 \, \text{m}^2 \\
\text{Toilet} & = 20 \, \text{m}^2 \\
\text{Hallway} & = 76 \, \text{m}^2 \\
\text{Store} & = 42 \, \text{m}^2 \\
\text{Dining Room} & = 70 \, \text{m}^2 \\
\text{Laundry} & = 8 \, \text{m}^2 \\
\text{Kitchen} & = 18 \, \text{m}^2 \\
\text{Additional Kitchen} & = 6 \, \text{m}^2 \\
\text{Additional Hallway} & = 16 \, \text{m}^2 \\
\text{Additional Dining Room} & = 10 \, \text{m}^2 \\
\end{align*}
\]
\[
\text{Total Area} = 40 + 40 + 40 + 20 + 20 + 76 + 42 + 70 + 8 + 18 + 6 + 16 + 10 = 446 \, \text{m}^2
\]
Final Answer:
\[
\boxed{446}
\]
Parent Tip: Review the logic above to help your child master the concept of perimeter of a house worksheet.
