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)\"\" \"About 
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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
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