document.write( "Question 1183630: A marketing manager for a publishing company has a 6 foot by 8 foot banner to be used when setting up booths at educational conferences. She decides add more zing to the booth by increasing the square footage by 50%, and plans to accomplish this by increasing each of the dimensions by the same amount. What will the new dimensions be? \n" ); document.write( "
Algebra.Com's Answer #814045 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A marketing manager for a publishing company has a 6 foot by 8 foot banner to be used when setting up booths at educational conferences. \n" ); document.write( " She decides add more zing to the booth by increasing the square footage by 50%, and plans to accomplish this by increasing each of the dimensions by the same amount. \n" ); document.write( " What will the new dimensions be? \n" ); document.write( ": \n" ); document.write( "Find the area of the new banner \n" ); document.write( "1.5(6*8) = 72 sq/ft \n" ); document.write( "Let x = the amt of increase required to accomplish this \n" ); document.write( "(x+6)(x+8) = 72 \n" ); document.write( "FOIL \n" ); document.write( "x^2 + 8x + 6x + 48 = 72 \n" ); document.write( "x^2 + 14x + 48 - 72 = 0 \n" ); document.write( "x^2 + 14x - 24 = 0 \n" ); document.write( "Use the quadratic formula: a=1; b=14; c=-24 \n" ); document.write( "I got a positive solution: 1.544 ft \n" ); document.write( ": \n" ); document.write( "What will the new dimensions be? \n" ); document.write( "6+1.544 = 7.544 ft is the new width \n" ); document.write( "8+1.544 = 9.544 ft is the new length \n" ); document.write( ": \n" ); document.write( "Check: 7.544 * 9.544 ~ 72 sq/ft \n" ); document.write( " |