document.write( "Question 1200822: the length of a rectangular platform is 2 feet longer than three times its width. the area of the platform in 56 square inches. what are the width and the length of the platform. \n" ); document.write( "
Algebra.Com's Answer #835045 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! the length of a rectangular platform is 2 feet longer than three times its width. \n" ); document.write( "L = 3w + 2 \n" ); document.write( "the area of the platform in 56 square inches. \n" ); document.write( "L*W = 56 \n" ); document.write( "what are the width and the length of the platform \n" ); document.write( "Replace L with (3w+2) \n" ); document.write( "(3w+2)*w = 56 \n" ); document.write( "distribute w \n" ); document.write( "3w^2 + 2w = 56 \n" ); document.write( "a quadratic equation \n" ); document.write( "3w^2 + 2w - 56 = 0 \n" ); document.write( "You can use the quadratic formula but this will factor \n" ); document.write( "(3w+14)(w-4) = 0 \n" ); document.write( "the positive solution is all we want here \n" ); document.write( "w = 4 is the width \n" ); document.write( "then \n" ); document.write( "L = 3(4)+2 \n" ); document.write( "L = 14 is the length \n" ); document.write( " |