Answer:
472 m²
Step-by-step explanation:
Divide the shapes into 2 rectangles and 2 triangles (see attached image).
Rectangle 1
Area of a rectangle = width × length
= 5 × 8
= 40 m²
Rectangle 2
Area of a rectangle = 9 × (6 + 8 + 5)
= 9 × 19
= 171 m²
Triangle 3
Area of a triangle = 1/2 × base × height
= 1/2 × (12 + 9 - 6) × 21
= 1/2 × 15 × 21
= 1/2 × 315
= 157.5 m²
Triangle 4
Area of a triangle = 1/2 × 9 × height
= 1/2 × 9 × (9 + 5 + 8 + 6 - 5)
= 1/2 × 9 × 23
= 1/2 × 207
= 103.5 m²
Total Area
Total area = 40 + 171 + 157.5 + 103.5
= 472 m²
