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:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

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