document.write( "Question 669140: The length of a rectangular banner is 3 feet longer than its width. If the area is 70 square feet, find the dimensions. \n" ); document.write( "
Algebra.Com's Answer #416171 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! The length of a rectangular banner is 3 feet longer than its width. If the area is 70 square feet, find the dimensions. \n" ); document.write( ". \n" ); document.write( "Let w = width of banner \n" ); document.write( "then \n" ); document.write( "w+3 = length of banner \n" ); document.write( ". \n" ); document.write( "w(w+3) = 70 \n" ); document.write( "w^2+3w = 70 \n" ); document.write( "w^2+3w-70 = 0 \n" ); document.write( "factoring: \n" ); document.write( "(w+10)(w-7) = 0 \n" ); document.write( "w = {-10, 7} \n" ); document.write( "throw out the negative solution (extraneous) leaving: \n" ); document.write( "w = 7 feet (width of banner) \n" ); document.write( ". \n" ); document.write( "length of banner: \n" ); document.write( "w+3 = 7+3 = 10 feet \n" ); document.write( ". \n" ); document.write( "answer: 7 feet by 10 feet \n" ); document.write( " |