How would you find the area of a composite shape that was 3 cm 8 cm 6 cm 6 cm 2 cm and 3 cm
To find the area of a composite shape with varying side lengths, you first need to divide the shape into smaller, simpler shapes. Then you can find the area of each individual shape and add them together to get the total area of the composite shape.
In this case, the composite shape consists of a rectangle (3 cm x 8 cm) and a trapezoid (6 cm, 6 cm, 2 cm, and 3 cm).
The area of the rectangle is calculated by multiplying its length and width:
Area of rectangle = 3 cm x 8 cm = 24 cm²
The area of a trapezoid can be calculated using the formula:
Area of trapezoid = [(base1 + base2) / 2] x height
In this case, the bases are 6 cm and 3 cm, and the height is 2 cm:
Area of trapezoid = [(6 cm + 3 cm) / 2] x 2 cm = (9 / 2) x 2 = 4.5 cm x 2 = 9 cm²
Therefore, the total area of the composite shape is:
Total area = Area of rectangle + Area of trapezoid
Total area = 24 cm² + 9 cm² = 33 cm²
So, the area of the composite shape is 33 cm².