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.