The right-angled triangle ABC is such that ∠B = 90°. Point D is picked on AC such that triangles ABC and ADB are similar. If AB ∶ AC = m ∶ n, what is Δ ABC ∶ Δ ADB, where Δ denotes the area of a triangle?
1
n ∶ m
2
n2 ∶ m2
3
(m + n) ∶ n
4
(m + n)2 ∶ n2