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
