Points P, Q, R and S are taken on sides AB, BC, CD and DA of square ABCD respectively, so that AP : PB = BQ : QC = CR : RD = DS : SA = 1 : n . Then the ratio of the area of PQRS to the area of ABCD is

A

1 : (1 + n)

B

1 : n

C

$$1 + n^{2} : (1 +n)^{2}$$

D

$$(1 + n) : (1 +n)^{2}$$