SOLUTION: You have 2 similar polygons, how do you find the value for x (width) when the length is 20. The other polygons length is 14 and the width is 6.

Algebra ->  Polygons -> SOLUTION: You have 2 similar polygons, how do you find the value for x (width) when the length is 20. The other polygons length is 14 and the width is 6.      Log On


   

Question 249212: You have 2 similar polygons, how do you find the value for x (width) when the length is 20. The other polygons length is 14 and the width is 6.
Answer by mathhub(11) About Me  (Show Source):
You can put this solution on YOUR website!
Lets say Polygon A has length 14 and width 6.
Polygon B has length 20 and width x. x is the unknown and we need to evaluate it.
In case of two similar polygons the ratio of lengths of the two polygons should be equal to the ratio of their widths.
The ratio of lengths of the two polygons (A:B) is 14:20. When simplified this ratio becomes 7:10.
The ratio of widths of A to B is 6:x
Now since the two polygons are similar, therefore 7%2F10+=+6%2Fx
That is 7%2F10+=+6%2Fx
=> 7%2Ax+=+6%2A10
=> x+=+60%2F7+=+8.57
Therefore the width of the polygon B is 8.57