The given diagram resembles a combination of geometric shapes: a triangle on top and a rectangle below. Let’s break down the shape and calculate its area step by step.

Step 1: Split the Shape

The shape consists of:

1. A triangle at the top with:

   • Base = 6 cm (calculated by subtracting the side lengths of 4 cm each from the total top length of 12 cm).
   • Height = 4 cm.

2. A rectangle at the bottom:

   • Width = 6 cm.
   • Height = 10 cm.

Step 2: Area of the Triangle

The formula for the area of a triangle is:

$\text{Area of Triangle} = \frac{1}{2} \times \text{Base} \times \text{Height}$

$\text{Area of Triangle} = \frac{1}{2} \times 6 \, \text{cm} \times 4 \, \text{cm} = 12 \, \text{cm}^2$

Step 3: Area of the Rectangle

The formula for the area of a rectangle is:

$\text{Area of Rectangle} = \text{Width} \times \text{Height}$

$\text{Area of Rectangle} = 6 \, \text{cm} \times 10 \, \text{cm} = 60 \, \text{cm}^2$

Step 4: Total Area

Now, sum the areas of the triangle and the rectangle:

$\text{Total Area} = 12 \, \text{cm}^2 + 60 \, \text{cm}^2 = 72 \, \text{cm}^2$

Conclusion:

The total area of the shape is 72 cm².

Would you like more details on any step? Here are 5 related questions to further your understanding:

1. How is the area of a triangle calculated with different measurements?
2. What happens if the base of the triangle changes?
3. How do you find the perimeter of this shape?
4. Can the same method be applied to other compound shapes?
5. What if the units were in meters instead of centimeters?

Tip: When breaking complex shapes into smaller parts, make sure to use the right formula for each section!