The following figure is made of 
\[1\] triangle and 
\[1\] rectangle.
A quadrilateral with one pair of parallel sides.  The base lengths are 9 units and 13 units.  The height is 5 units. A dashed line that is perpendicular to the base creates two triangles, labeled A and B. 
\[13\]
\[5\]
\[9\]
Find the area of each part of the figure and the whole figure.
Figure	Area (square units)
Rectangle A	
Triangle B	
Whole figure	


To solve this problem, we'll calculate the areas of the individual shapes (Rectangle A and Triangle B) and then add them together to find the area of the entire figure.

### Step 1: Find the area of Rectangle A
- **Length of the rectangle (base)**: 9 units
- **Height of the rectangle**: 5 units

The formula for the area of a rectangle is:
\[
\text{Area} = \text{base} \times \text{height}
\]
\[
\text{Area of Rectangle A} = 9 \times 5 = 45 \text{ square units}
\]

### Step 2: Find the area of Triangle B
- **Base of the triangle**: 13 - 9 = 4 units (since the total length is 13 units, and the rectangle covers 9 units)
- **Height of the triangle**: 5 units

The formula for the area of a triangle is:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
\[
\text{Area of Triangle B} = \frac{1}{2} \times 4 \times 5 = 10 \text{ square units}
\]

### Step 3: Find the area of the whole figure
The whole figure consists of Rectangle A and Triangle B, so we add their areas:
\[
\text{Total Area} = 45 + 10 = 55 \text{ square units}
\]

### Summary
| Figure           | Area (square units) |
|------------------|---------------------|
| Rectangle A      | 45                  |
| Triangle B       | 10                  |
| Whole figure     | 55                  |

Would you like further details or have any questions?

### Related Questions
1. How do you find the area of composite shapes?
2. What is the difference between the area of a rectangle and a parallelogram?
3. How do you calculate the area of a trapezoid?
4. What are other ways to split a quadrilateral into simpler shapes?
5. How would the total area change if the height was doubled?

### Tip
When dealing with composite shapes, break them down into familiar shapes (like rectangles and triangles) to make finding the area easier.

The following figure is made of 1 triangle and 1 rectangle. A quadrilateral with one pair of parallel sides. The base lengths are 9 units and 13 units. The height is 5 units. A dashed line that is perpendicular to the base creates two triangles, labeled A and B. Find the area of each part of the figure and the whole figure. Figure Area (square units) Rectangle A Triangle B Whole figure

Learn how to find the area of a composite shape made up of a rectangle and a triangle. This problem involves calculating the area of a rectangle with a base of 9 units and a height of 5 units, along with a triangle with a base of 4 units and the same height. Suitable for students in Grades 5-7.

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