What is the area of the shape in the shape there is 8 cm 6 cm 6 cm 3 cm 2 cm 3 cm
Explain how you would find the area of this composite shape
To find the area of this composite shape, we need to first identify the individual shapes within the composite shape. In this case, the composite shape can be divided into two rectangles and a triangle.
First, we calculate the area of the larger rectangle:
- Length = 8 cm
- Width = 6 cm
Area = Length x Width = 8 cm x 6 cm = 48 cm²
Next, we calculate the area of the smaller rectangle:
- Length = 6 cm
- Width = 3 cm
Area = Length x Width = 6 cm x 3 cm = 18 cm²
Now, we calculate the area of the triangle:
To calculate the area of a triangle, we use the formula:
Area = 0.5 x base x height
- Base = 2 cm
- Height = 3 cm
Area = 0.5 x 2 cm x 3 cm = 3 cm²
Finally, to find the total area of the composite shape, we add the areas of the individual shapes together:
Total Area = Area of larger rectangle + Area of smaller rectangle + Area of triangle
Total Area = 48 cm² + 18 cm² + 3 cm² = 69 cm²
Therefore, the total area of the composite shape is 69 cm².