To find the area of the figure, we need to first calculate the area of the triangle and the area of the rectangle separately. Let's start with the triangle.

1. Area of the Triangle:

The formula for the area of a triangle is:

$A = \frac{1}{2} \times \text{base} \times \text{height}$

From the given information:

• Base = 6
• Height = 8

Substitute the values into the formula:

$A_{\text{triangle}} = \frac{1}{2} \times 6 \times 8 = 24 \, \text{square units}$

2. Area of the Rectangle:

The formula for the area of a rectangle is:

$A = \text{length} \times \text{width}$

From the given information:

• Length = 8
• Width = 13

Substitute the values into the formula:

$A_{\text{rectangle}} = 8 \times 13 = 104 \, \text{square units}$

Total Area:

To find the total area of the figure, add the area of the triangle and the area of the rectangle:

$A_{\text{total}} = A_{\text{triangle}} + A_{\text{rectangle}} = 24 + 104 = 128 \, \text{square units}$

So, the total area of the figure is 128 square units.

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Would you like more details on how these areas were calculated, or do you have any other questions?

Here are some additional questions to consider:

1. How does the formula for the area of a triangle apply to non-right triangles?
2. What would happen if the triangle's base or height changed?
3. How can you use the Pythagorean Theorem to calculate the area of a right triangle?
4. What would the area of the rectangle be if its sides were 10 and 12 instead of 8 and 13?
5. How can you calculate the area of a composite figure made of other shapes?

Tip: Always double-check the units of your measurements (base, height, length, width) to ensure the area is in the correct unit (square units).