explain HOW you would find the area of this composite shape. (2 points) 2. What is the area of this shape? (1 point) and the numbers are 8 cm 3cm 6cm 2cm 3cm 6cm
To find the area of a composite shape, you would break it down into simpler shapes and then sum up their areas.
In this case, let's break down the composite shape into rectangles and triangles.
First, we have a 8 cm by 3 cm rectangle, which has an area of 8 cm * 3 cm = 24 cm².
Next, we have a 6 cm by 2 cm rectangle plus a 3 cm by 6 cm rectangle. The area of the first rectangle is 6 cm * 2 cm = 12 cm², and the area of the second rectangle is 3 cm * 6 cm = 18 cm². So, the combined area of these two rectangles is 12 cm² + 18 cm² = 30 cm².
Finally, we have a triangle with a base of 3 cm and a height of 6 cm. The formula for the area of a triangle is (base * height) / 2, so the area of this triangle is (3 cm * 6 cm) / 2 = 9 cm².
To find the total area of the composite shape, we add up the areas of the rectangles and the triangle: 24 cm² + 30 cm² + 9 cm² = 63 cm².
Therefore, the area of this composite shape is 63 cm².