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

Step 1: Identify the dimensions of the L-shaped figure.
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.

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

Step 2: Calculate the area using a large rectangle minus the missing rectangle.
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:
$60~\textrm{cm} \times 50~\textrm{cm} = 3000~\textrm{cm}^2$

Step 3: Subtract to find the area of the L-shape.
$8000~\textrm{cm}^2 - 3000~\textrm{cm}^2 = 5000~\textrm{cm}^2$

5000 cm^{2}