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)![]() ![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " \n" ); document.write( " |