Respuesta :

Area of the figure = 126 cm²

Solution:

The given figure is splitted into two shape.

One is rectangle and the other is triangle.

Length of the rectangle = 9 cm

Width of the rectangle = 12 cm

Area of the rectangle = length × width

                                    = 9 × 12

Area of the rectangle = 108 cm²

Base of the triangle = 12 – 3 – 3 = 6 cm

Height of the triangle = 15 – 9 = 6 cm

Area of the triangle = [tex]\frac{1}{2}\times\text{base}\times\text{height}[/tex]

                                 [tex]$=\frac{1}{2}\times6\times6[/tex]

Area of the triangle = 18 cm²

Area of the figure = Area of the rectangle + Area of the triangle

                              = 108 cm² + 18 cm²

                              = 126 cm²

Area of the figure = 126 cm²