Answer:
LM = 2.83 ft
MN = 2.39 ft
Explanation:
Given: The wooden tree house has horizontal siding that is parallel to the base
So, LD // ME // NF
As shown, GN and Gk are transversal line segments
So,

From the figure:
LG = 11.3 ft , GH = 10.4 ft , HJ = 2.6 ft and JK = 2.2 ft
Using the first and second ratios
LM = LG * HJ/GH = 11.3 * 2.6/10.4 = 2.83 ft (to the nearest hundredth)
Using the first and third ratios
MN = LG * JK/GH = 11.3 * 2.2/10.4 = 2.39 ft (to the nearest hundredth)