Answer:
126 ft²
Explanation:
We have
2 rectangles 3ft × 5ft
2 rectangles 5ft × 6ft
2 rectangles 3ft × 6ft
The formula of an area of a rectangle:
A = lw
l, w - dimensions of a rectangle
Calculate:
A₁ = (3)(5) = 15 ft²
A₂ = (5)(6) = 30 ft²
A₃ = (3)(6) = 18 ft²
The total area of the solid figure:
A = 2A₁ + 2A₂ + 2A₃ = 2(A₁ + A₂ + A₃)
Substitute:
A = 2(15 + 30 + 18) = 2(63) = 126 ft²