ABCD IS A square AEGF IS A rectangle..such that the rectangle shares 25% of the area of the suare ALSO AE lies ON THE LINE AB and AG lies on segment of AD.if the square shares half the area of the rectangle what is the ratio AE:AG? Select the correct option:	A) 1 : 4	B) 8 : 1	C) 4 : 1	D) 3 : 1	E) 1 : 3

Rationale: a - - - - - - - - - - - - b - - - - - - - - e | | 50 % | g - - - - - - - - - - - - | - - - - - - - - f | | | 75 % | d - - - - - - - - - - - c remaining square 75 % and remaining rectangle 50 % rectangle share 25 % area of square so , ab x ag = ( ad x ab ) / 4 ad = 4 ag - - - - - - - - - - - - - - - - - - ( 1 ) square share half the area of rectangle so , ag x ab = ( ae x ag ) / 2 ab = ae / 2 - - - - - - - - - - - - - - - - - - ( 2 ) in square all sides are equal i . e . ab = bc = cd = ad so , equation ( 1 ) and ( 2 ) both are equal ae / 2 = 4 ag ae / ag = 8 ae : ag = 8 : 1 answer : b
Answer: B