document.write( "Question 257832: The length of a table is 13 inches more than its width. If the area of the table is 1598 square inches, what is its length? \n" ); document.write( "
Algebra.Com's Answer #189748 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The length of a table is 13 inches more than its width. \n" ); document.write( "; \n" ); document.write( "x = width of the table \n" ); document.write( "then \n" ); document.write( "L = (x+13) \n" ); document.write( "; \n" ); document.write( "If the area of the table is 1598 square inches, what is its length? \n" ); document.write( ": \n" ); document.write( "L * x = 1598 \n" ); document.write( "Replace L with (x+13) \n" ); document.write( "x(x+13) = 1598 \n" ); document.write( "x^2 + 13x - 1598 = 0; our old friend, the quadratic equation \n" ); document.write( "Factor \n" ); document.write( "(x - 34)(x + 47) = 0 \n" ); document.write( "Positive solution \n" ); document.write( "x = 34 inches is the width \n" ); document.write( "then \n" ); document.write( "34 + 13 = 47 inches is the length \n" ); document.write( " |