Question

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Answer 1

Surface Area = 96 ft^2

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

Answer 2

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

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

`A= 4\ ft * 7\ ft = 28\ ft^2`

`A= 5\ ft * 7\ ft = 35\ ft^2`

`A= 3\ ft * 7\ ft = 21\ ft^2`

Area of the top and bottom triangles

`A= (h\ *\ b)/(2) = (3\ ft\ *\ 4\ ft)/(2) = (12\ ft^2)/(2) = 6\ ft^2 = 2(6\ ft^2) = 12\ ft^2`

Total Area

`28\ ft^2 + 35\ ft^2 + 21\ ft^2 + 12\ ft^2`

`96\ ft^2`

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