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

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step-by-step explanation:

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.