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polygon problem (?!)
Hi there!![Smile :smile: :smile:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
I have got an problem here.It's a simple one.Not much to think about
"The ratio between the numbers of sides of two regular polygons is 1:2 and the ratio between the sum of their 3:4.Find the number of sides in each polygon"
It appears easy and is too. but the problem is the answer i am getting is absolutely weird ie.,
-1 and -2 sides .![Roll Eyes :rolleyes: :rolleyes:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
In the work out I had considered the no . of sides to be x and 2x
the sum of interior angles 3y and 4y respectively.
so it ends up as {(4x-4)*90} -{(2x-4)*90} =4y-3y
=>180x=y
so i sustituted it in the equation (2x-4)*90=3y which ends up as -4=4x .: x= -1![Eek! :eek: :eek:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
:
Book's answers are polygon with 5 and 10 sides .
I don't know whether I have gone wrong some where
. If so Please help me correct it!(If the book's answer is wrong mention that too
!)
Thank you
Hi there!
I have got an problem here.It's a simple one.Not much to think about
"The ratio between the numbers of sides of two regular polygons is 1:2 and the ratio between the sum of their 3:4.Find the number of sides in each polygon"
It appears easy and is too. but the problem is the answer i am getting is absolutely weird ie.,
-1 and -2 sides .
In the work out I had considered the no . of sides to be x and 2x
the sum of interior angles 3y and 4y respectively.
so it ends up as {(4x-4)*90} -{(2x-4)*90} =4y-3y
=>180x=y
so i sustituted it in the equation (2x-4)*90=3y which ends up as -4=4x .: x= -1
Book's answers are polygon with 5 and 10 sides .
I don't know whether I have gone wrong some where
Thank you