Respuesta :

Given:

Compound shape

To find:

The area of the compound shape.

Solution:

The compound shape is splitted into two parallelograms.

Bottom parallelogram:

Base = 7.5 cm

Height = 5 cm

Area of the parallelogram = base × height

                                           = 7.5 × 5

                                           = 37.5 cm²

The area of the Bottom parallelogram 37.5 cm².

Top parallelogram:

Base = 7.5 cm

Height = 4.5 cm

Area of the parallelogram = base × height

                                           = 7.5 × 4.5

                                           = 33.75 cm²

The area of the top parallelogram 33.75 cm².

Compound shape = 37.5 + 33.75

                               = 71.25 cm²

The area of the compound shape is 71.25 cm².