Answer:
146 m²
Step-by-step explanation:
Divide the figure into a triangle and 2 rectangles (see attached diagram)
Formulae
- Area of a triangle = 1/2 x base x height
- Area of a rectangle = width x length
Triangle 1
⇒ area = 1/2 x 16 x (6 + 9 - 4 - 4)
= 1/2 x 16 x 7
= 56 m²
Rectangle 2
⇒ area = 3 x (6 + 9)
= 3 x 15
= 45 m²
Rectangle 3
⇒ area = 5 x 9
= 45 m²
Total area
⇒ Total area = triangle 1 + rectangle 2 + rectangle 3
= 56 + 45 + 45
= 146 m²
