Question

What is the perimeter of AEB? 16.4 ft 18.5 ft 18.7 ft 22.9 ft

Answer 1

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,

$\dfrac{AE}{AD}=\dfrac{EB}{BF}$

Hence, we have:

$\dfrac{AE}{2}=\dfrac{7.8}{2.4}\\\\AE=\dfrac{7.8\times 2}{2.4}\\\\AE=6.5 ft.$

Hence, perimeter of ΔAEB is:

6.5+4.2+7.8=18.5 ft.  

( since AE=6.5 ft

BE=7.8 ft

and AB=4.2 ft )

Hence, perimeter of ΔAEB is:

18.5 ft.

Answer 2

Answer:

18.5

Step-by-step explanation:

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