document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #175429 by checkley77(12844) $\"\"$ $\"About$

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x(111+x)=104,000
\n" ); document.write( "111x+x^2=104,000
\n" ); document.write( "x^2+111x-104,000=0
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "x=(-111+-sqrt[111^2-4*1*-104,000])/281
\n" ); document.write( "x=(-111+-sqrt[12,321+416,000])/2
\n" ); document.write( "x=(-111+-sqrt[428.321])/2
\n" ); document.write( "x=(-111+-654.46)/2
\n" ); document.write( "x=(-111+654.46)/2
\n" ); document.write( "x=543.46/2
\n" ); document.write( "x=272 miles is the length of the west border.
\n" ); document.write( "Proof:
\n" ); document.write( "272(111+272)=104,000
\n" ); document.write( "272*383=104,000
\n" ); document.write( "104,000~104,000
\n" ); document.write( " \n" ); document.write( "

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