SOLUTION: The length of a rectangular playing field is 5ft less than twice its width.If the perimeter of the playing field is 230ft,find the length and width of the field.
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Question 88048: The length of a rectangular playing field is 5ft less than twice its width.If the perimeter of the playing field is 230ft,find the length and width of the field. Answer by SandySharma(35) (Show Source):
You can put this solution on YOUR website! Let the width of the field be x
Length = 2x -5
Perimeter = x + x + 2x - 5 + 2x - 5 = 6x - 10
Given that perimeter = 230 ft.
so, 4x - 10 = 230
Add 10 on both sides
6x = 230 + 10
6x = 240
Divide both sides by 6, you will get
x = 240/6 = 40
length = 2x - 5 = 2*40 - 5 = 80 - 5 = 75
Answer: length = 75ft. & width = 40ft.
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