Math worksheet for calculating the area of various geometric shapes.

I'll solve this area problem step by step. The worksheet asks to find the area of various polygons, including triangles, rectangles, and trapezoids.

Let me go through each shape one by one:

1. Right Triangle (top left)
- Base = 4 cm
- Height = 6 cm
- Area of triangle = (1/2) × base × height
- Area = (1/2) × 4 cm × 6 cm = 12 cm²

2. Rectangle (top middle)
- Length = 8 cm
- Width = 2 cm
- Area of rectangle = length × width
- Area = 8 cm × 2 cm = 16 cm²

3. Square (top right)
- Side = 3 cm
- Area of square = side × side
- Area = 3 cm × 3 cm = 9 cm²

4. Parallelogram (middle left)
- Base = 8 cm
- Height = 12 cm
- Area of parallelogram = base × height
- Area = 8 cm × 12 cm = 96 cm²

5. Trapezoid (middle right)
- Base 1 = 14 cm
- Base 2 = 7 cm
- Height = 5 cm
- Area of trapezoid = (1/2) × (base 1 + base 2) × height
- Area = (1/2) × (14 cm + 7 cm) × 5 cm = (1/2) × 21 cm × 5 cm = 52.5 cm²

6. Trapezoid (bottom left)
- Base 1 = 16 cm
- Base 2 = 11 cm
- Height = 10 cm
- Area of trapezoid = (1/2) × (base 1 + base 2) × height
- Area = (1/2) × (16 cm + 11 cm) × 10 cm = (1/2) × 27 cm × 10 cm = 135 cm²

7. Trapezoid (bottom right)
- Base 1 = 58 cm
- Base 2 = 37 cm
- Height = 12 cm
- Area of trapezoid = (1/2) × (base 1 + base 2) × height
- Area = (1/2) × (58 cm + 37 cm) × 12 cm = (1/2) × 95 cm × 12 cm = 570 cm²

The areas for each shape are:
- Triangle: 12 cm²
- Rectangle: 16 cm²
- Square: 9 cm²
- Parallelogram: 96 cm²
- First trapezoid: 52.5 cm²
- Second trapezoid: 135 cm²
- Third trapezoid: 570 cm²