Respuesta :

Answer:

[tex]\huge\boxed{\sf 9300\ m\²}[/tex]

Step-by-step explanation:

The figure is made up of:

  • A rectangle
  • A triangle

Formula for area of rectangle:

  • Length × Width

Formula for Area of triangle:

  • [tex]\displaystyle =\frac{1}{2} (Base)(Height)[/tex]

Area of rectangle:

Length = 90 m

Width = 70 m

= Length × Width

= 90 × 70

= 6300 m²

Area of Triangle:

Base = 170 - 70 = 100 m

Height = 90 - 30 = 60 m

[tex]\displaystyle =\frac{1}{2} (Base)(Height)\\\\= \frac{1}{2} (100)(60)\\\\= (50)(60)\\\\= 3000 \ m^2[/tex]

Total Area of the figure:

= Area of the rectangle + Area of the triangle

= 6300 + 3000

= 9300 m²

[tex]\rule[225]{225}{2}[/tex]