Lolaergasheva wrote:

The perimetr of square region S & rectangular region P are equal. If the sides of R are in the ratio 2:3.

The answer is B. I can solve. according the ratio i take rectangular with side 4 and 6. Perimetr=24 perimetr of square with sides length 6 =24. Than areas P=24 S=6^2=36. Where am I wrong?

Rectangle is R; say; l=6, w=4

Perimeter of R= 2(l+w)=2(6+4)=2*10=20 (not 24)

Area of R = 6*4=24

Perimeter of S = Perimeter of R (Given)

Perimeter of S = 4 * side_of_S

Perimeter of R = 20

4*side_of_S = 20

side_of_S, say s = 20/4=5

Area of S = s^2 = 5^2=25

Ratio; Area of R/Area of S = 24/25

Ans: "B"

_________________

~fluke

GMAT Club Premium Membership - big benefits and savings