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I'll solve this worksheet on finding the area of mixed shapes. I need to calculate the area for each of the 12 figures shown.

Let me go through each problem one by one, identifying the shape and using the appropriate area formula.

Problem 1: Circle with radius 6 cm
Area = π × r² = π × 6² = 36π cm² ≈ 113.04 cm²

Problem 2: Square with side 12 m
Area = side² = 12² = 144 m²

Problem 3: Rectangle with width 6 in and height 14 in
Area = width × height = 6 × 14 = 84 in²

Problem 4: Rectangle with width 3 yd and length 7 yd
Area = width × length = 3 × 7 = 21 yd²

Problem 5: Circle with radius 4 ft
Area = π × r² = π × 4² = 16π ft² ≈ 50.24 ft²

Problem 6: Triangle with base 8 cm and height 8 cm
Area = (1/2) × base × height = (1/2) × 8 × 8 = 32 cm²

Problem 7: Right triangle with base 5 yd and height 4 yd
Area = (1/2) × base × height = (1/2) × 5 × 4 = 10 yd²

Problem 8: Rectangle with width 2 in and height 10 in
Area = width × height = 2 × 10 = 20 in²

Problem 9: Square with side 9 m
Area = side² = 9² = 81 m²

Problem 10: Rectangle with width 7 ft and height 9 ft
Area = width × height = 7 × 9 = 63 ft²

Problem 11: Circle with radius 10 m
Area = π × r² = π × 10² = 100π m² ≈ 314 m²

Problem 12: Triangle with base 15 cm and height 4 cm
Area = (1/2) × base × height = (1/2) × 15 × 4 = 30 cm²

Here are the final answers for each problem:
1) 36π cm² or approximately 113.04 cm²
2) 144 m²
3) 84 in²
4) 21 yd²
5) 16π ft² or approximately 50.24 ft²
6) 32 cm²
7) 10 yd²
8) 20 in²
9) 81 m²
10) 63 ft²
11) 100π m² or approximately 314 m²
12) 30 cm²