document.write( "Question 1009394: The length of a rectangle is 9 centimeters more than four times the width of the area of the rectangle is 198 centimeters squared find the length and the width \n" ); document.write( "
Algebra.Com's Answer #624891 by tiffany222(56)\"\" \"About 
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Let width be x
\n" ); document.write( "Let length be y\r
\n" ); document.write( "\n" ); document.write( "y = 4x + 9\r
\n" ); document.write( "\n" ); document.write( "A = l * w = x * y
\n" ); document.write( "A = x (4x + 9)
\n" ); document.write( "198 = 4x^2 + 9x
\n" ); document.write( "0 = 4x^2 + 9x - 198
\n" ); document.write( "(x - 6) (4x + 33) = 0
\n" ); document.write( "x = 6, -33/4
\n" ); document.write( "x = 6 only because -33/4 is rejected\r
\n" ); document.write( "\n" ); document.write( "Substituting x to find y:
\n" ); document.write( "y = 4x + 9
\n" ); document.write( "y = 4 (6) + 9
\n" ); document.write( "y = 24 + 9
\n" ); document.write( "y = 33\r
\n" ); document.write( "\n" ); document.write( "Final Answer:
\n" ); document.write( "Width = 6 cm
\n" ); document.write( "Length = 33 cm
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