Respuesta :

The area of the wedge = 12 + 18 + 24 + 30 = 84 ft².

What is the Surface Area of A Wedge?

The surface area of a wedge = the area of each net that makes up the wedge.

Let's find the area of each net (3 rectangles and 2 triangles) in the diagram attached below:

Area of the two identical triangles:

Area of triangle = 2[1/2(base × height)] = 2[1/2(4 × 3)] = 12 ft².

Area of Rectangle 1:

Area = length × width = 6 × 3 = 18 ft²

Area of Rectangle 2:

Area = length × width = 6 × 4 = 24 ft²

Area of Rectangle 3:

Area = length × width = 6 × 5 = 30 ft²

Therefore, area of the wedge = 12 + 18 + 24 + 30 = 84 ft².

Learn more about area of wedge on:

https://brainly.com/question/4438754

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