D is the midpoint of BC, AE is equal to one third of AC, if the area of triangle ade is equal to 4, calculate the area of triangle ABC

D is the midpoint of BC, AE is equal to one third of AC, if the area of triangle ade is equal to 4, calculate the area of triangle ABC

AE=AC/3
So: because triangle ade and triangle ADC are of equal height
So triangle ade area: Triangle ADC area = AE: AC = 1:3
Similarly, ad = AB / 2, and triangle ADC and triangle ABC are of equal height
So triangle ADC area: triangle ABC area = ad: ab = 1:2
So:
Triangle ABC area = 2 triangle ADC area = 6 triangle ade area = 24