https://file.aiquickdraw.com/mathbot/file/1732149480241amdprtgu.jpg

To calculate the area of the given shape, we will divide it into two parts: a rectangle and a triangle. Then, we'll calculate the area of each and sum them.

### Dimensions:
1. **Rectangle:**
   - Width = 4 cm
   - Height = 10 cm

   \[
   \text{Area of rectangle} = \text{width} \times \text{height} = 4 \times 10 = 40 \, \text{cm}^2
   \]

2. **Triangle:**
   - Base = 4 cm
   - Height = 4 cm

   \[
   \text{Area of triangle} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \times 4 = 8 \, \text{cm}^2
   \]

### Total Area:
\[
\text{Total Area} = \text{Area of rectangle} + \text{Area of triangle} = 40 + 8 = 48 \, \text{cm}^2
\]

### Final Answer:
The area of the shape is **48 cm²**.

Would you like further clarification or details on this?  
Here are some additional related questions to consider:

1. What is the formula for calculating the area of other composite shapes?
2. How can we calculate the perimeter of this shape?
3. How do we approach shapes with irregular outlines?
4. How can we use a grid to estimate the area of such shapes?
5. What are the key differences between 2D area and 3D volume calculations?

**Tip:** Always break down complex shapes into simpler components for easier calculations.

Work out the area of this shape. Give your answer in cm².

Learn how to calculate the area of a composite shape by dividing it into a rectangle and a triangle. This example features a 4 cm × 10 cm rectangle and a triangle with a 4 cm base and height. Perfect for Grades 6-8 geometry practice.

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