To find the area of a polygon with all right angles, we can break it down into simpler geometric shapes, such as rectangles or squares, whose areas we can easily calculate and then sum up.
Let's illustrate this process step-by-step with an example polygon, assuming it consists of several rectangles.
1. **Identify and divide the polygon:**
Consider a polygon that looks like this, composed of rectangles:
```
_______________
| |
| |
| A |
| |
|_______________|_____
| | |
| B | C |
|_______________|_____|
```
2. **Label the dimensions:**
Suppose the dimensions of rectangles \( A \), \( B \), and \( C \) are as follows:
- Rectangle \( A \) has a width of 8 units and a height of 6 units.
- Rectangle \( B \) has a width of 8 units and a height of 4 units.
- Rectangle \( C \) has a width of 4 units and a height of 4 units.
3. **Calculate the area of each rectangle:**
- Area of Rectangle \( A \): \( 8 \text{ units} \times 6 \text{ units} = 48 \text{ square units} \)
- Area of Rectangle \( B \): \( 8 \text{ units} \times 4 \text{ units} = 32 \text{ square units} \)
- Area of Rectangle \( C \): \( 4 \text{ units} \times 4 \text{ units} = 16 \text{ square units} \)
4. **Sum the areas of all rectangles:**
- Total area = Area of \( A \) + Area of \( B \) + Area of \( C \)
- Total area = \( 48 \text{ square units} + 32 \text{ square units} + 16 \text{ square units} = 96 \text{ square units} \)
Therefore, the area of the polygon is \( 96 \) square units.
If you provide the exact dimensions and layout of your polygon, we can tailor these steps to calculate its specific area accurately.
