Respuesta :

Given:

Composite figure

To find:

The area of the composite figure.

Solution:

The composite figure splitted into three shapes.

One is rectangle and the other two shapes are triangle.

Area of a rectangle = length × width

                                = 10 × 16

Area of a rectangle = 160 cm²

Area of one triangle = [tex]\frac{1}{2}bh[/tex]

                                  [tex]$=\frac{1}{2}\times 16\times 6[/tex]

Area of one triangle = 48 cm²

Area of another triangle = [tex]\frac{1}{2}bh[/tex]

                                        [tex]$=\frac{1}{2}\times 16\times 6[/tex]

Area of another triangle = 48 cm²

Area of composite figure = 160 cm² + 48 cm² + 48 cm²

                                          = 256 cm²

The area of the composite figure is 256 cm².