What is the perimeter of AEB?16.4 ft18.5 ft18.7 ft22.9 ft

Answer:Hence, perimeter of ΔAEB is:18.5 ft.Step-by-step explanation:The perimeter of ΔAEB is given as:length of side AE+length of side BE+length of side AB.As side AB║DF hence we will use Triangle Proportionality theorem to calculate the length of side AE.Since,[tex]\dfrac{AE}{AD}=\dfrac{EB}{BF}[/tex]Hence, we have:[tex]\dfrac{AE}{2}=\dfrac{7.8}{2.4}\\\\AE=\dfrac{7.8\times 2}{2.4}\\\\AE=6.5 ft.[/tex]Hence, perimeter of ΔAEB is:6.5+4.2+7.8=18.5 ft.   ( since AE=6.5 ftBE=7.8 ftand AB=4.2 ft )Hence, perimeter of ΔAEB is:18.5 ft.