Manipulating QC Question

GRE Quant Problem Solving
1

Hey Guys,

I have a question about this problem mentioned in Quant Toolkit 6.
GRE Snip

I understand the current solution, but I am confused as to why you can not compare Quantity A and B using the area formulas instead of R (which I thought would result in the same answer). If you compare s^2/2 to s^2, wouldn’t s^2 be bigger?

2

You’re comparing the area of an isosceles triangle with side length s with the area of a square with side length s here. That’s entirely different from what the question wants.

The question wants you to compare a side length of a leg vs side length of square given they have the same area.