ABCD is a rectangle. Let E be a point on
AB and F a point on CD such that DE is
parallel to BF.If AE=3 cm and if the area
of triangle BFC = 6 square cm.
Consider the following statements :
1. Area of rectangle ABCD can be of the
form `pq^(2)` square cm where p,q are
distinct primes.
2. Area of the figure EBFD is of the form
`r^(2)` square cm where r is rational but not an integer.
Which of the above statements `"is/are"` correct ?

Options

A. Only I
B. Only II
C. Both I and II
D. Neither I nor II

Answer

A