Quantity A - [The area of a quadrilateral with perimeter equal to P]
Quantity B - [The area of a quadrilateral with perimeter equal to P]

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

I also got them equal… but the correct ans is D… i wonder how…??
Did u get C by assuming the quadrilateral in 2 cases: 1st as a square and the other as a rectangle…??

Ok so consider a Square with perimeter 2P (Let’s call it S1). Inside this bigger square, another square with perimeter P (Let’s call it S2) can easily fit in right? So Area of S1 is clearly greater.

Now hold the two opposite vertices of square 1 and start squeezing the sides, so it becomes a rhombus, and keep squeezing. Is the area decreasing? Ultimately what does the area become? the rhombus will ultimately become a straight line with 0 area. So at some point it went from area of S1 being greater, to equal, to less than the area of S2. So option D.