Answer:
137 m²
Step-by-step explanation:
Divide the figure into a triangle and 3 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 (8 + 7 + 2 - 4 - 7) x 5
= 1/2 x 6 x 5
= 15 m²
Rectangle 2
⇒ area = 4 x (2 + 7 + 8)
= 4 x 17
= 68 m²
Rectangle 3
⇒ area = 2 x (7 + 8)
= 2 x 15
= 30 m²
Rectangle 4
⇒ area = 3 x 8
= 24 m²
Total area
⇒ Total area = triangle 1 + rectangle 2 + rectangle 3 + rectangle 4
= 15 + 68 + 30 + 24
= 137 m²
