If the areas of two similar hexagons are to each other as 5 : 2, and one side of the first hexagon is 25, what is the corresponding side in the other hexagon? Round your answer to two

decimal places.

A. 3.16
B. 10.00
C. 15.81
D. 250.00

I tried to do this setting up a proportion and got B.10.00, however this answer proved to be incorrect. Help please.

5 answers

areas scale as square of length ratio
so
5/2 in area ---> sqrt(5)/sqrt(2) in length

so
25 * sqrt 2/sqrt 5 = 15.813883
think square 3 meters on each side
area = 3*3 = 9
then square 6 meters on a side, double
area = 6*6 = 36 or four times

length ratios = 2
area ratios = 4

2^2 = 4
the question asked for the corresponding side, not the area. So, 10.00 is the correct answer.
oops. My bad. I neglected to read that the areas were 5:2, not the sides.

Go with Damon. Right, as usual.
Thank you so much for the help Damon and Steve!