document.write( "Question 189435: the length of a rectangle is 3 m less than five times the width .
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document.write( "the area of the rectangle is 36 m^2 find the dimensions
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Algebra.Com's Answer #142121 by jojo14344(1513)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( " \n" ); document.write( "We know for rectangle, Area = Length x Width\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Given: \n" ); document.write( "Width = x \n" ); document.write( "Length = 5x-3, 3 meters less than 5 times width \n" ); document.write( "Area = 36 sq m\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then, \n" ); document.write( "36 = (5x-3)(x) \n" ); document.write( "36 = 5x^2 - 3x \n" ); document.write( "5x^2 - 3x -36 =0 \n" ); document.write( "Remember: \n" ); document.write( "By Quadratic, \n" ); document.write( "Discriminant: \n" ); document.write( "Then, \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, Width=3 meters \n" ); document.write( "Length = 5(3)-3 = 15-3 = 12 meters\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's check, \n" ); document.write( "A = L x W \n" ); document.write( "36sq m = 12 x 3 \n" ); document.write( "36sq.m. = 36 sq. m.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thank you, \n" ); document.write( "Jojo\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |