document.write( "Question 952824: Please help me with the following word problem .A scoreboard is 10 meters squared,the scoreboard was enlarged, the length was increased by 1m and the width by 3 meters, by doing so the area of the scoreboard tripled. determine the original length and width \n" ); document.write( "
Algebra.Com's Answer #581869 by rothauserc(4718) You can put this solution on YOUR website! Area of the scoreboard is 10 m^2 and we are given, \n" ); document.write( "l*w = 10 \n" ); document.write( "(l+1)*(w+3) = 30 \n" ); document.write( "solve first formula for l, l = 10/w \n" ); document.write( "substitute for l in the second equation \n" ); document.write( "(10/w +1)*(w+3) = 30 \n" ); document.write( "((10+w)/w) * (w+3) = 30 \n" ); document.write( "multiply both sides of = by w \n" ); document.write( "(w+10) * (w+3) = 30w \n" ); document.write( "w^2 +13w +30 = 30w \n" ); document.write( "w^2 -17w +30 = 0 \n" ); document.write( "factor equation \n" ); document.write( "(w-15)*(w-2) = 0 \n" ); document.write( "w = 15 and w=2 \n" ); document.write( "we have two possibilities \n" ); document.write( "w = 2 m, and l = 5 m and \n" ); document.write( "w = 15 m and l = 2/3 m \n" ); document.write( " \n" ); document.write( " |