To calculate the area of the given shape, it can be broken down into two simple geometric figures: a rectangle and a right triangle.

1. Rectangle:

• Width = 8 cm
• Height = 7 cm

The area of a rectangle is given by:

$\text{Area}_{\text{rect}} = \text{width} \times \text{height} = 8 \, \text{cm} \times 7 \, \text{cm} = 56 \, \text{cm}^2$

2. Triangle:

• Base = 8 cm (same as the base of the rectangle)
• Height = 6 cm

The area of a triangle is given by:

$\text{Area}_{\text{tri}} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 8 \, \text{cm} \times 6 \, \text{cm} = 24 \, \text{cm}^2$

3. Total Area:

Since the triangle and rectangle are combined, the total area is the sum of both areas:

$\text{Total Area} = \text{Area}_{\text{rect}} + \text{Area}_{\text{tri}} = 56 \, \text{cm}^2 + 24 \, \text{cm}^2 = 80 \, \text{cm}^2$

Thus, the total area of the shape is 80 cm².

Let me know if you want further details or have any other questions!

Related Questions:

1. How do you calculate the area of composite shapes with curved sides?
2. What is the difference between calculating the area of a trapezoid and a triangle?
3. How do different units (like square meters) affect area calculations?
4. What methods can be used to approximate the area of irregular shapes?
5. How does the Pythagorean theorem assist in finding missing lengths for area calculations?

Tip:

Always break down complex shapes into simpler geometric figures (like rectangles and triangles) to make area calculations easier.