To calculate the total area of the shape in the image, we need to divide it into simpler parts. The figure can be separated into a rectangle and a right triangle.

1. Area of the Rectangle:

• The dimensions of the rectangle are given as 16 feet (length) and 8 feet (width).
• The area $A$ of a rectangle is calculated using the formula: $A = \text{length} \times \text{width}$ Substituting the given values: $A = 16 \times 8 = 128 \, \text{square feet}$

2. Area of the Right Triangle:

• The right triangle has a base of 10 feet and a height of 12 feet.
• The area $A$ of a triangle is calculated using the formula: $A = \frac{1}{2} \times \text{base} \times \text{height}$ Substituting the given values: $A = \frac{1}{2} \times 10 \times 12 = 60 \, \text{square feet}$

3. Total Area:

• The total area of the shape is the sum of the areas of the rectangle and the triangle: $\text{Total Area} = 128 \, \text{sq ft} + 60 \, \text{sq ft} = 188 \, \text{square feet}$

Thus, the total area of the figure is 188 square feet.

Would you like more details on this process or any related concepts?

Related Questions:

1. What is the formula for the area of different types of triangles?
2. How do you calculate the area of composite shapes?
3. What are other methods for finding the area of irregular shapes?
4. How is the Pythagorean theorem related to right triangles?
5. How do different unit conversions (e.g., feet to meters) affect area calculations?

Tip: Breaking down complex shapes into simpler components makes calculating areas much easier.