SOLUTION: The perimeter of a rectangular soccer field is 20/3 meters. If the width of the soccer field is the reciprocal of the length, find the dimensions of the soccer field.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The perimeter of a rectangular soccer field is 20/3 meters. If the width of the soccer field is the reciprocal of the length, find the dimensions of the soccer field.      Log On


   

Question 655273: The perimeter of a rectangular soccer field is 20/3 meters. If the width of the soccer field is the reciprocal of the length, find the dimensions of the soccer field.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,



width of the soccer field is the reciprocal of the lengthhighlight%28x%29

 P = 2L + 2W = 20/3

0r    L + W = 10/3

Question states***

     +x+%2B+1%2Fx+=+10%2F3 |Multiplying thru by 3x so as all denominators = 1

    3x^2 + 3 = 10x

   3x^2 - 10x + 3 = 0

factoring

  (3x - 1)(x - 3) = 0

  x = 1/3 m  0r  x = 3m

Dimensions are:  1/3 m  by 3m