Question

Find the area of the figure. Hint: Separate into regular shapes and combine the areas!
Shapes: 1 rectangle and 2 triangles
Rectangle: 11 m and 3 m
Triangle 1: 7 m and 4 m
Triangle 2: 7 m and 4 m
A = [ ? ] m²
Area Formulas: B x H and B x H/2

Answer 1

To find the area of the figure, we will calculate the area of the rectangle and the two triangles separately, then combine those areas.

### Step 1: Area of the Rectangle
The area \( A \) of a rectangle is given by the formula:
\[
A = \text{Base} \times \text{Height}
\]
For the rectangle:
- Base = 11 m
- Height = 3 m

Calculating the area:
\[
A_{\text{rectangle}} = 11 \, \text{m} \times 3 \, \text{m} = 33 \, \text{m}^2
\]

### Step 2: Area of Triangle 1
The area \( A \) of a triangle is given by the formula:
\[
A = \frac{\text{Base} \times \text{Height}}{2}
\]
For Triangle 1:
- Base = 7 m
- Height = 4 m

Calculating the area:
\[
A_{\text{triangle 1}} = \frac{7 \, \text{m} \times 4 \, \text{m}}{2} = \frac{28 \, \text{m}^2}{2} = 14 \, \text{m}^2
\]

### Step 3: Area of Triangle 2
For Triangle 2, the base and height are the same as Triangle 1:
- Base = 7 m
- Height = 4 m

Calculating the area:
\[
A_{\text{triangle 2}} = \frac{7 \, \text{m} \times 4 \, \text{m}}{2} = \frac{28 \, \text{m}^2}{2} = 14 \, \text{m}^2
\]

### Step 4: Combine the Areas
Now, we combine the areas of the rectangle and the two triangles:
\[
\text{Total Area} = A_{\text{rectangle}} + A_{\text{triangle 1}} + A_{\text{triangle 2}}
\]
\[
\text{Total Area} = 33 \, \text{m}^2 + 14 \, \text{m}^2 + 14 \, \text{m}^2
\]
\[
\text{Total Area} = 33 \, \text{m}^2 + 28 \, \text{m}^2 = 61 \, \text{m}^2
\]

### Final Answer
The total area of the figure is:
\[
\boxed{61} \, \text{m}^2
\]