What is the lateral surface area of the figure?

Step-by-step explanation:

The lateral surface of the figure is the sum of the areas of all the faces.

Here we have 5 faces:

- 2 identical right triangles

- 3 rectangular faces

The area of each triangular face is:

where

b = 6.8 cm is the base

h = 5.1 cm is the height

Substituting,

The area of the 3 rectangular faces is given by the product between the two sides, so:

So the total area is: