# SOLUTION: The length of a rectangular playing field is 5 feet less than twice its width. If the perimeter of the playing field is 230 ft, find the length and width of the field.

Algebra ->  Algebra  -> Rectangles -> SOLUTION: The length of a rectangular playing field is 5 feet less than twice its width. If the perimeter of the playing field is 230 ft, find the length and width of the field.      Log On

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 Question 85821: The length of a rectangular playing field is 5 feet less than twice its width. If the perimeter of the playing field is 230 ft, find the length and width of the field.Answer by praseenakos@yahoo.com(507)   (Show Source): You can put this solution on YOUR website!Question: The length of a rectangular playing field is 5 feet less than twice its width. If the perimeter of the playing field is 230 ft, find the length and width of the field. Answer: Perimeter of a rectangle = 2( length + width) Here length is given in terms of width (that is, length of a rectangular playing field is 5 feet less than twice its width.) So let us take width = x feet Twice the width = 2 times the width = 2times x = 2x Then length = 2x - 5 (because length is 5 feet less that twice the width) Perimeter = 230 feet (given) Then by the formula, 2(length + width ) = 230 feet. 2( 2x- 5 + x ) = 230 ==> 2( 2x + x - 5 ) = 230 ==> 2( 3x - 5 ) = 230 ==> 6x - 2 * 5 = 230 ( multiplying 2 with terms inside the parenthisis) ==> 6x -10 = 230 Add 10 to both sides....... ==> 6x - 10 + 10 = 230 + 10 ==> 6x = 240 Divide both sides by 6 ==> ==> x = 40 That is width = 40 feet The length = 2x -5 = 2* 40 - 5 ==> length = 80 - 5 ==> length = 75 Length of the playground = 75 feet and width of the play ground is 40 feet. To check your answer, plugg these value in the formula, perimeter = 2( length + width ) Then you will get the same answer, that is 230 feet, Hope you found the explanation useful.... Regards. Praseena.