SOLUTION: THE LENGTH OF A RECTANGULAR FIELD IS 20 FT LESS THAN TWICE ITS WIDTH. ITS AREA IS 6000 SQ FT. FIND THE LENGTH AND WIDTH. I KNOW AREA=L TIMES W BUT I CANT QUITE FIGURE OUT HOW

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Question 21456: THE LENGTH OF A RECTANGULAR FIELD IS 20 FT LESS THAN TWICE ITS WIDTH. ITS AREA IS 6000 SQ FT. FIND THE LENGTH AND WIDTH.
I KNOW AREA=L TIMES W
BUT I CANT QUITE FIGURE OUT HOW TO SET IT UP.
LENGTH 2W-20=6000 ??????????
THANKS!

Answer by Paul(988)   (Show Source): You can put this solution on YOUR website!
(x)(2x-20)=6000


Use quadratic formula:

a=2, b=-20, c=-6000

(divide by four)
(divide by four)
Add (don't subtract):
x=60
2(60)-20=100
hence the width is 60ft and the length is 100ft.



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