document.write( "Question 126347This question is from textbook Algebra
\n" ); document.write( ": Someone please help me with this problem! It involves a little geometry as well as algebra I suppose.\r
\n" ); document.write( "\n" ); document.write( "A rectangle is 5 cm longer than it is wide. If its length and width are both increased by 3 cm, its area is increased by 60 cm^2. Find the dimensions of the original rectangle. \r
\n" ); document.write( "\n" ); document.write( "I tried to set it up by combining terms to get the equation x^2 + 24 = y + 60 but that produced answers that didn't seem to check. \r
\n" ); document.write( "\n" ); document.write( "If you can, please help me out!
\n" ); document.write( "

Algebra.Com's Answer #92554 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"A\" = original area
\n" ); document.write( "Let \"W\" = original width
\n" ); document.write( "Let \"L\" = original length
\n" ); document.write( "\"A+=+W+%2A+L\"
\n" ); document.write( "\"L+=+W+%2B+5\"
\n" ); document.write( "\"A+=+W%28W+%2B+5%29\"
\n" ); document.write( "\"A+=+W%5E2+%2B+5W\"
\n" ); document.write( "\"A+%2B+60+=+%28W+%2B+3%29%28L+%2B+3%29\"
\n" ); document.write( "\"A+%2B+60+=+%28W+%2B+3%29%28W+%2B+5+%2B+3%29\"
\n" ); document.write( "\"A+=+%28W+%2B+3%29%28W+%2B+8%29+-+60\"
\n" ); document.write( "\"A+=+W%5E2+%2B+11W+%2B+24+-+60\"
\n" ); document.write( "\"A+=+W%5E2+%2B+11W+-+36\"
\n" ); document.write( "\"A+=+W%5E2+%2B+5W\" from above
\n" ); document.write( "\"W%5E2+%2B+5W+=+W%5E2+%2B+11W+-+36\"
\n" ); document.write( "\"6W+=+36\"
\n" ); document.write( "\"W+=+6\"
\n" ); document.write( "\"L+=+W+%2B+5\"
\n" ); document.write( "\"L+=+11\"
\n" ); document.write( "The dimensions of the original rectangle are 6 x 11 cm2
\n" ); document.write( "check
\n" ); document.write( "\"A+=+W+%2A+L\"
\n" ); document.write( "\"A+=+66\"
\n" ); document.write( "\"A+%2B+60+=+%28W+%2B+3%29%28L+%2B+3%29\"
\n" ); document.write( "\"66+%2B+60+=+%286+%2B+3%29%2811+%2B+3%29\"
\n" ); document.write( "\"126+=+9%2A14\"
\n" ); document.write( "\"126+=+126\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );