document.write( "Question 98129: Please help me solve this word problem.\r
\n" ); document.write( "\n" ); document.write( "Geometry. The length of a rectangle is 2 cm more than 3 times its width. If the
\n" ); document.write( "area of the rectangle is 95 cm2, find the dimensions of the rectangle.\r
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Algebra.Com's Answer #71512 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
The length of a rectangle is 2 cm more than 3 times its width. If the
\n" ); document.write( "area of the rectangle is 95 cm2, find the dimensions of the rectangle.
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\n" ); document.write( "Let x = width of the rectangle
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\n" ); document.write( "It says,\"The length of a rectangle is 2 cm more than 3 times its width.\" Therefore
\n" ); document.write( "Length = (3x + 2)
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\n" ); document.write( "\"area of the rectangle is 95 cm2,\"
\n" ); document.write( " L * W = 95
\n" ); document.write( "Therefore:
\n" ); document.write( "(3x+2) * x = 95
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\n" ); document.write( "3x^2 + 2x = 95
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\n" ); document.write( "3x^2 + 2x - 95 = 0; a quadratic equation, solve using the quadratic formula
\n" ); document.write( "a = 3; b = 2; c = -95
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\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( ":
\n" ); document.write( "\"x+=+%28-2+%2B-+sqrt%28+2%5E2+-+4+%2A+3+%2A+-95+%29%29%2F%282%2A3%29+\"
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\n" ); document.write( "\"x+=+%28-2+%2B-+sqrt%284+-+%28-1140%29+%29%29%2F%286%29+\"
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\n" ); document.write( "\"x+=+%28-2+%2B-+sqrt%284+%2B+1140+%29%29%2F%286%29+\"; minus a minus is a plus
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\n" ); document.write( "\"x+=+%28-2+%2B-+sqrt%281144+%29%29%2F%286%29+\"
\n" ); document.write( "Two solutions, but it's the positive solution we want here
\n" ); document.write( "\"x+=+%28-2+%2B+33.823%29%2F6\"
\n" ); document.write( "\"x+=+31.823%2F6\"
\n" ); document.write( "x = 5.305 is the width
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\n" ); document.write( "Length = 3(5.305) + 2 = 17.915 is the length
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\n" ); document.write( "Check solution:
\n" ); document.write( "5.305 * 17.915 = 95.0\r
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