3 cm
2 cm
3 cm
8 cm
6 cm
6 cm
1. Explain HOW you would find the area of this composite shape. (2 points)
2. What is the area of this shape? (1 point)
To find the area of this composite shape, we would break it down into smaller basic shapes and then add up their areas.
1. First, we can see that we have two triangles with base 2 cm and height 3 cm. The area of each triangle would be (1/2) * base * height = (1/2) * 2 cm * 3 cm = 3 cm² for each triangle.
2. Next, we have a rectangle with a length of 8 cm and a width of 3 cm. The area of a rectangle is length * width = 8 cm * 3 cm = 24 cm² for this rectangle.
3. Finally, there are two squares with side lengths of 6 cm. To find the area of a square, we square the length of one side, so the area for each square would be 6 cm * 6 cm = 36 cm².
To find the total area of the composite shape, we add up the areas of each individual shape: 3 cm² + 3 cm² + 24 cm² + 36 cm² + 36 cm² = 102 cm².
Therefore, the area of this composite shape is 102 cm².