Can you find the area of a figure that is a rectangle with a triangle on top

To find the area of a figure that consists of a rectangle with a triangle on top, we'll need to calculate the area of each part separately and then add them together.

### Step-by-step Solution:

1. **Area of the Rectangle:**
   - Let the length (base) of the rectangle be \( l \) and the width (height) be \( w \).
   - The area \( A_{\text{rect}} \) of the rectangle is given by:
   \[
   A_{\text{rect}} = l \times w
   \]

2. **Area of the Triangle:**
   - Assume the triangle is positioned on top of the rectangle and shares the same base \( l \) as the rectangle. Let the height of the triangle be \( h \).
   - The area \( A_{\text{tri}} \) of the triangle is given by:
   \[
   A_{\text{tri}} = \frac{1}{2} \times l \times h
   \]

3. **Total Area of the Figure:**
   - The total area \( A_{\text{total}} \) of the figure is the sum of the area of the rectangle and the area of the triangle:
   \[
   A_{\text{total}} = A_{\text{rect}} + A_{\text{tri}}
   \]
   - Substituting the formulas, we get:
   \[
   A_{\text{total}} = (l \times w) + \left(\frac{1}{2} \times l \times h\right)
   \]

If you have specific measurements for \( l \), \( w \), and \( h \), you can substitute those values to calculate the exact area.

Would you like to provide values for \( l \), \( w \), and \( h \) to calculate the specific area, or do you need further details? 

### Related Questions:
1. How do you calculate the perimeter of the same figure?
2. How does the area formula change if the triangle is an isosceles triangle?
3. What is the area of a figure with a semicircle on top of a rectangle?
4. How do you find the area of a trapezoid?
5. What is the formula for finding the surface area of a three-dimensional shape, such as a prism?

**Tip:** When calculating areas, always make sure that all measurements are in the same units to maintain consistency and accuracy.

Learn how to find the area of a figure consisting of a rectangle with a triangle positioned on top. Detailed steps include calculating the area of the rectangle and triangle separately, then combining them. Suitable for Grades 6-8.

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