question_answer

There are four points P, Q, R and S marked on the side of the square ABCD so that each side is divided in the ratio \[3:2\]and PQRS also forms a square. The ratio of area of PQRS and the area of ABCD is given by:

A)  \[\frac{13}{5}\]                        

B)  \[\frac{13}{25}\]

C)  \[\frac{\sqrt{5}}{9}\]                            

D)  \[\frac{12}{5}\]

E)  None of these