conocieur wrote:

vivek123 wrote:

It's "E".

Let 'x' be the length of rope used for circle. i.e. circumference x = 2*pi*r

Then rope length used for square is (40-x)

1) Area of circle = pi*(r^2)

2) Area of square:

Length of a side of square = (40-x)/4

Hence, area of square = ((40-x)/4)^2

=> (10 - (x/4))^2

=> (10 - (2*pi*r/4))^2 ------------------------ substitue x = 2*pi*r

=> (10 - (0.5*pi*r))^2

Add 1 & 2, you get "E"

I think this is a real GMAT question, well done vivek, as usual

Hey conocieur, thanks for encouraging

I've been following your posts & you rock! Your mathematics skills are very good!