https://file.aiquickdraw.com/mathbot/file/1727304485508eoeq60br.jpg

To solve question 7, we are asked to find two methods to calculate the area of the hexagonal shape.

### Method 1: Subdivide into simpler shapes
The hexagon in the diagram can be divided into two rectangles:
- **First rectangle**: Dimensions 7 units by 9 units.
- **Second rectangle**: Dimensions 3 units by 6 units.

Let's calculate the area of both rectangles:

1. **Area of the larger rectangle**:  
   \[
   \text{Area} = 7 \times 9 = 63 \, \text{square units}
   \]

2. **Area of the smaller rectangle**:  
   \[
   \text{Area} = 3 \times 6 = 18 \, \text{square units}
   \]

Finally, add the areas of both rectangles:
\[
\text{Total area} = 63 + 18 = 81 \, \text{square units}
\]

### Method 2: Use overall dimensions and subtract missing parts
In this method, treat the shape as a larger rectangle with dimensions that span the outer boundaries of the hexagon, and subtract the area of the part that is "cut out."

1. **Total area of outer rectangle** (7 units by 9 units):
   \[
   \text{Area} = 7 \times 9 = 63 \, \text{square units}
   \]

2. Subtract the area of the smaller rectangle (which is "cut out"):
   \[
   \text{Area of cutout} = 3 \times 6 = 18 \, \text{square units}
   \]

Thus, the total area is:
\[
\text{Total area} = 63 + 18 = 81 \, \text{square units}
\]

Both methods give the same area: **81 square units**.

---

Would you like more details or have any questions?

Here are five related questions:
1. How do you find the perimeter of this shape?
2. Can this shape be divided into other geometric figures to calculate the area?
3. What is the relationship between perimeter and area in such shapes?
4. How can we apply the area formula for irregular shapes like this hexagon?
5. What are some practical uses for calculating the area of composite figures?

**Tip**: When dealing with irregular shapes, breaking them down into basic shapes like rectangles or triangles can simplify area calculations.

There are two ways to find the area of the hexagon. What are they? Find the area using both methods.

Learn how to calculate the area of a composite hexagonal shape by dividing it into simpler rectangles. Explore two methods, one by subdividing the shape and another by using overall dimensions and subtracting the missing part. Both methods lead to the same total area of 81 square units.

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