SOLUTION: the state of colorado is almost perfectly rectangular, with its north border 111 mile longer than its west border. if the state encompasses 104,000 mi squared estimate the dimensio

Question 238582: the state of colorado is almost perfectly rectangular, with its north border 111 mile longer than its west border. if the state encompasses 104,000 mi squared estimate the dimensions of colorado. round to the nearest mile.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
x(111+x)=104,000
111x+x^2=104,000
x^2+111x-104,000=0

x=(-111+-sqrt[111^2-4*1*-104,000])/281
x=(-111+-sqrt[12,321+416,000])/2
x=(-111+-sqrt[428.321])/2
x=(-111+-654.46)/2
x=(-111+654.46)/2
x=543.46/2
x=272 miles is the length of the west border.
Proof:
272(111+272)=104,000
272*383=104,000
104,000~104,000

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