Question

What is the perimeter of AEB?

16.4 ft
18.5 ft
18.7 ft
22.9 ft

Answer 1

18.5

Explanation:

edge2020

Answer 2

Hence, perimeter of ΔAEB is:

18.5 ft.

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,

`(AE)/(AD)=(EB)/(BF)`

Hence, we have:

`(AE)/(2)=(7.8)/(2.4)\\\\AE=(7.8* 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.