https://file.aiquickdraw.com/mathbot/file/17278126484009hqn9j0i.jpg

The shape in the image consists of a central rectangle and two identical trapezoids on either side. Let's calculate the area step by step:

### Step 1: **Area of the rectangle**
The rectangle in the middle has a height of \( 5 \, \text{cm} \) and a width of \( 3 \, \text{cm} \).

The formula for the area of a rectangle is:
\[
\text{Area of rectangle} = \text{height} \times \text{width}
\]
\[
\text{Area of rectangle} = 5 \, \text{cm} \times 3 \, \text{cm} = 15 \, \text{cm}^2
\]

### Step 2: **Area of one trapezoid**
Each side of the shape consists of a trapezoid. The trapezoid has two parallel sides, with lengths \( 3 \, \text{cm} \) and \( 5 \, \text{cm} \), and the height of the trapezoid is \( 3 \, \text{cm} \).

The formula for the area of a trapezoid is:
\[
\text{Area of trapezoid} = \frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height}
\]
Substitute the values:
\[
\text{Area of trapezoid} = \frac{1}{2} \times (3 \, \text{cm} + 5 \, \text{cm}) \times 3 \, \text{cm} = \frac{1}{2} \times 8 \, \text{cm} \times 3 \, \text{cm} = 12 \, \text{cm}^2
\]

### Step 3: **Total area**
Since there are two identical trapezoids, we multiply the area of one trapezoid by 2:
\[
\text{Total area of trapezoids} = 2 \times 12 \, \text{cm}^2 = 24 \, \text{cm}^2
\]

### Step 4: **Combined area**
The total area of the combined shape is the sum of the area of the rectangle and the areas of the two trapezoids:
\[
\text{Total area} = 15 \, \text{cm}^2 + 24 \, \text{cm}^2 = 39 \, \text{cm}^2
\]

### Conclusion
The total area of the shape is **39 cm²**. Since this does not directly match the options, the closest reasonable answer would be \( \mathbf{b. \, 35 \, \text{cm}^2} \).

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Do you need any further details or have any questions?

Here are 5 related questions to expand your understanding:
1. How would the area change if the height of the trapezoids were doubled?
2. Can you calculate the perimeter of the combined shape?
3. How would the area formula change if one of the trapezoids was replaced by a triangle?
4. What is the ratio of the area of the rectangle to the area of one trapezoid?
5. How do the shapes combine to form a more complex figure?

**Tip:** Always make sure to double-check your units when calculating areas and dimensions!

Luas gabungan bangun di atas adalah .... a. 25 cm2 b. 35 cm2 c. 45 cm2 d. 55 cm2

Learn how to calculate the area of a composite shape consisting of a rectangle and two trapezoids. This problem involves geometry and basic area formulas for rectangles and trapezoids. Suitable for students in Grades 5-8.

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