Two similar hexagons have areas 36 sq. in. and 64 sq. in. The ratio of a pair of corresponding sides is 9/16. True or False?

Question

mathmale · Answer

Hello, and welcome to OpenStudy!  0

Have you considered sketching ing the two hexagons, or figuring out the areas of each?  Note that "hexa=" implies 6 "pie slices."  Every central angle is 360 deg / 6 = 60 deg.
This info should enable you to find a formula for the area of each hexagon.

Compare the radii of the two hexagons you've drawn, by writing a ratio.  Is your ratio equal to or equivalent to 9/16?

anonymous · Answer

|dw:1456785127720:dw|
then take the ratio of areas

jhonyy9 · Answer

36       9
--- = ---
64      16

4*9        9
----- = ---
4*16      16

 9        9
--- = ---    hope this make sens giving the right answer easy 
16      16

directrix · Answer

If two polygons are similar, the square of the scale factor of the two polygons is equal to the ratio of the areas of the polygons.

directrix · Answer

Is  (9 / 16) ^2  =  ( 36 / 64 )  ?