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Answered

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igoroleshko156

Answer:

A = 3 ft, B = 7 ft, C = 4 ft, D = 5 ft, Surface Area = 96 ft^2

Step-by-step explanation:

Step 1:  Determine the sides

A → 3 ft

B → 7 ft

C → 4 ft

D → 5 ft

Step 2:  Determine the surface area

Area of the sides

[tex]A= 4\ ft * 7\ ft = 28\ ft^2[/tex]

[tex]A= 5\ ft * 7\ ft = 35\ ft^2[/tex]

[tex]A= 3\ ft * 7\ ft = 21\ ft^2[/tex]

Area of the top and bottom triangles

[tex]A= \frac{h\ *\ b}{2} = \frac{3\ ft\ *\ 4\ ft}{2} = \frac{12\ ft^2}{2} = 6\ ft^2 = 2(6\ ft^2) = 12\ ft^2[/tex]

Total Area

[tex]28\ ft^2 + 35\ ft^2 + 21\ ft^2 + 12\ ft^2[/tex]

[tex]96\ ft^2[/tex]

Answer:  A = 3 ft, B = 7 ft, C = 4 ft, D = 5 ft, Surface Area = 96 ft^2

andytran027

Answer:

Surface Area = 96 ft^2

Step-by-step explanation:

A = 3 ft.

B = 7 ft.

C = 4 ft.

D = 5 ft.

Surface Area:

Triangle: Area = 1/2 * Base * Height

Top Triangle: Area = 1/2 * 4 * 3 = 1/2 * 12 = 6 ft^2

Bottom Triangle: Area = 6 ft^2

Rectangle: Area = Length * Width

Left Rectangle: Area = 7 * 4 = 28 ft^2

Mid Rectangle: Area = 7 * 5 = 35 ft^2

Right Rectangle: Area = 7 * 3 = 21 ft^2

Surface Area = TopTri + BotTri + LeftRect + MidRect + RightRect

Surface Area = 6 + 6 + 28 + 35 + 21 = 96 ft^2

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