What is the surface area of the figure? can you explain how to get it

The surface area of the solid = 582 feet²

Step-by-step explanation:

* At first lets study the solid

- it consists of 8 faces

- One base with dimensions 15 and 4 feet (1)

- Two side faces L-shaped with dimensions 15 , 4 , 9 ad 6 feet (2)

- One side face with dimensions 4 and 15 feet (3)

- One side face with dimensions 9 and 4 feet (4)

- One side face with dimensions 6 and 4 feet (5)

- One top base with dimensions 9 and 4 feet (6)

- One top base with dimensions 6 and 4 feet (7)

* Now lets find the area of the faces

- A(1) = 15 × 4 = 60 feet² ⇒ rectangular face

* We can find the area of L-shaped by this way

∵ Area of the square face = 15 × 15 = 225 feet²

∵ Area of the small rectangle = 9 × (15 - 9) = 54 feet²

- Lets subtract the area of the small rectangle from the area of

  the square, to find the area of the L-shaped

- A(2) = 2 ( 225 - 54) = 2 (171) = 342 feet²

- A(3) = 4 × 15 = 60 feet² ⇒ rectangular face

- A(4) = 9 × 4 = 36 feet² ⇒ rectangular face

- A(5) = 6 × 4 = 24 feet² ⇒ rectangular face

- A(6) = 9 × 4 = 36 feet² ⇒ rectangular face

- A(7) = 6 × 4 = 24 feet² ⇒ rectangular face

* Lets add all of these areas to find the surface area of the solid

∴ The S.A = 60 + 342 + 60 + 36 + 24 + 36 + 24 = 582 feet²

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.