Answer: 50, 208 mm²
Step-by-step explanation:
The lateral area is the surface area excluding the bottom, also known as the base. This means we will be solving for two rectangles and two triangles.
[The Rectangles]
They are both congruent, so I will do the following;
A = 2(L * W)
A = 2(7 mm * 24 mm)
A = 2(168 mm)
A = 336 mm²
[The Triangles]
The area of a triangle is [tex]\frac{B * H}{2}[/tex] However, they are both congruent. I will do the following;
A = B * H
A = 24 mm * 2,078 mm
A = 49,872 mm²
[The Total]
Lastly, I will add them together.
336 mm² + 49,872 mm² = 50, 208 mm²
