SOLUTION: A playing field has area 4700ft squared. it's length is 6ft less than twice its width. Give the dimensions of the playing field

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Question 351641: A playing field has area 4700ft squared. it's length is 6ft less than twice its width. Give the dimensions of the playing field
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
Area=width*length
Let the width be x then length is 2x-6
4700=x%282x-6%29
4700=2x%5E2-6x%29 subtract 4700 from each side
0=2x%5E2-6x-4700%29 factor
0=%282x-100%29%28x%2B47%29
0=2x-100 subtract 2x from each side
-2x=-100divide both sides by -2
x=50 then length is 2*50-6=94
0=x%2B47 subtract 47 from each side
-47=x length can't be negative, so we don't do anything with this answer
So the dimensions are width 50 and length 94