document.write( "Question 1204760: The length of a rectangle exceeds its width by 4 inches. find the dimensions of the rectangle if the area is 12 square inches \n" ); document.write( "
Algebra.Com's Answer #841229 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "w = width \n" ); document.write( "w+4 = length\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "width*length = area \n" ); document.write( "w*(w+4) = 12 \n" ); document.write( "w^2+4w = 12 \n" ); document.write( "w^2+4w-12 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use the quadratic formula to solve for w. \n" ); document.write( "Or you can guess-and-check to factor. \n" ); document.write( "Either way you should find that: \n" ); document.write( "w = -6, w = 2 \n" ); document.write( "Ignore the negative value. A negative width is not possible.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If w = 2, then w+4 = 2+4 = 6 \n" ); document.write( "The rectangle is 2 inches by 6 inches. \n" ); document.write( " \n" ); document.write( " |