document.write( "Question 1196633: a notebook has an area of 150m² and a perimeter of 50cm. what are the dimensions of the notebook \n" ); document.write( "
Algebra.Com's Answer #829557 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
l * w = 150
\n" ); document.write( "2l + 2w = 50
\n" ); document.write( "solve for l in the first equation to get:
\n" ); document.write( "l = 150/w
\n" ); document.write( "replace l in the second equation with that to get:
\n" ); document.write( "2*150/w + 2w = 50
\n" ); document.write( "simplify to get:
\n" ); document.write( "300/w + 2w = 50
\n" ); document.write( "multiply both sides of the equation by w to get:
\n" ); document.write( "300 + 2w^2 = 50w
\n" ); document.write( "divide both sides of the equation by 2 to get:
\n" ); document.write( "150 + w^2 = 25w
\n" ); document.write( "subtract 25w from both sides of the equation and reorder the terms in descenng order of degree to get:
\n" ); document.write( "w^2 - 25w + 150 = 0
\n" ); document.write( "factor to get:
\n" ); document.write( "(w-10) * (w-15) = 0
\n" ); document.write( "solve for w to get:
\n" ); document.write( "w = 10 or w = 15
\n" ); document.write( "when w = 10, l = 150/10 = 15
\n" ); document.write( "when w = 15, l = 150/15 = 10
\n" ); document.write( "dimensions of the notebook are 10 by 15 or 15 by 10, however you want to look at it.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );