document.write( "Question 109633This question is from textbook
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document.write( ": The length of a rectangle is three centimeters greater than the width. The area is 108 square centimeters. Find the length and width of the rectangle. \n" );
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Algebra.Com's Answer #79994 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The length of a rectangle is three centimeters greater than the width. The area is 108 square centimeters. Find the length and width of the rectangle. \n" ); document.write( ": \n" ); document.write( "Let x = the width \n" ); document.write( ": \n" ); document.write( "It says,\"The length of a rectangle is three centimeters greater than the width.\" \n" ); document.write( "Therefore: (x+3) = the length \n" ); document.write( ": \n" ); document.write( "L * W = 108 \n" ); document.write( "Same as: \n" ); document.write( "(x+3)*x = 108 \n" ); document.write( "x^2 + 3x = 108 \n" ); document.write( "x^2 + 3x - 108 = 0 \n" ); document.write( ": \n" ); document.write( "Factor this to: \n" ); document.write( "(x + 12)(x - 9) = 0 \n" ); document.write( ": \n" ); document.write( "x = +9 cm is the width (it's positive solution we want here) \n" ); document.write( "Then \n" ); document.write( "9 + 3 = 12 cm is the length \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check: 12 * 9 = 108 \n" ); document.write( ": \n" ); document.write( "That wasn't so hard, was it? Any questions? \n" ); document.write( " |