What is the total area of the shape shown in the image, given the dimensions provided?

The left vertical side is 80 cm high and 40 cm wide.
The upper right vertical side is 50 cm high.
Thus, the bottom arm height is $80 - 50 = 30$ cm.
The bottom arm extends 60 cm to the right.

$$80~\textrm{cm} - 50~\textrm{cm} = 30~\textrm{cm}$$

Large rectangle: width $= 40~\textrm{cm} + 60~\textrm{cm} = 100~\textrm{cm}$, height $= 80~\textrm{cm}$.
Area of large rectangle:

$$100~\textrm{cm} \times 80~\textrm{cm} = 8000~\textrm{cm}^2$$

Missing rectangle (top right): width $= 60~\textrm{cm}$, height $= 50~\textrm{cm}$.
Area of missing rectangle:

$$60~\textrm{cm} \times 50~\textrm{cm} = 3000~\textrm{cm}^2$$

$$8000~\textrm{cm}^2 - 3000~\textrm{cm}^2 = 5000~\textrm{cm}^2$$

5000 cm^{2}