Gwen is sketching the layout of a flower garden. The perimeter of her flower garden is 18.39 m. Gwen is going to fence in only the solid sides of the figure. She will not fence in the side indicated by the dashed line measuring 4.04 m.

What is the total length of the sides that Gwen will fence in?

To find the total length of the sides Gwen will fence in, we can subtract the length of the dashed line from the perimeter: 18.39 m - 4.04 m = <<18.39-4.04=14.35>>14.35 m. Answer: \boxed{14.35}.

To find the total length of the sides that Gwen will fence in, we need to subtract the length of the side indicated by the dashed line from the perimeter of the flower garden.

Given:
Perimeter of the flower garden = 18.39 m
Length of the side indicated by dashed line = 4.04 m

Total length of the sides Gwen will fence in = Perimeter - Length of the side indicated by dashed line

Total length of the sides Gwen will fence in = 18.39 m - 4.04 m
Total length of the sides Gwen will fence in = 14.35 m

Therefore, the total length of the sides that Gwen will fence in is 14.35 meters.

To find the total length of the sides that Gwen will fence in, we need to find the perimeter of the flower garden excluding the side indicated by the dashed line.

Let's start by calculating the perimeter of the flower garden including all sides. We know that the perimeter is 18.39 m.

To exclude the side indicated by the dashed line, we need to subtract its length, which is 4.04 m.

Therefore, the perimeter of the flower garden excluding the dashed line is:
18.39 m - 4.04 m = 14.35 m.

So, Gwen will fence in a total length of 14.35 meters.