It’s a L but the long line in L is facing right with 13.7 cm on top, 4 cm on the side, 3 cm on the vertices, one 7.5 cm on the top of the rectangle on the L and another 7.5 cm on the side, 6.2 cm on the bottom, and 11.5 on the other rectangle on the L

Solve for the total surface area of the figure.

(1 point)
Responses

365.8 cm2
  365.8 cm squared  

53.4 cm2
  53.4 cm squared

353.8 cm2
353.8 cm squared

377.8 cm2

1 answer

To find the total surface area of the figure, we need to add up the areas of each individual shape.

The long line part of the figure is a rectangle with dimensions 13.7 cm (top), 4 cm (side), 7.5 cm (top of the rectangle on the L), and 6.2 cm (bottom). The area of this rectangle is: 13.7 cm x 4 cm = 54.8 cm^2

The other rectangle on the L has dimensions 3 cm (vertices), 6.2 cm (bottom), 7.5 cm (side), and 11.5 cm (other rectangle on the L). The area of this rectangle is: 11.5 cm x 3 cm = 34.5 cm^2

Now, we need to add up the areas of both rectangles to get the total surface area of the figure: 54.8 cm^2 + 34.5 cm^2 = 89.3 cm^2

Therefore, the total surface area of the figure is 89.3 cm^2. So, the closest answer is 53.4 cm^2.