Can someone please help me with this question?

AE = 9 units

Step-by-step explanation:

Based on the centroid theorem:

AX = ⅔ of AE

Given that AX = 6 units, where X is the centroid of ∆ABC, therefore:

6 = ⅔ of AE

6 = ⅔(AE)

Multiply both sides by 3

6*3 = ⅔(AE)*3

18 = 2(AE)

Divide both sides by 2

18/2 = AE

9 = AE

AE = 9 units

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6