document.write( "Question 1081184: The sum of the areas of two unequal lots is 5200 sq. meters. If the lots were adjacent to each other, they would require 320 meters of fence to enclose the combined formed by them. Find the dimensions of each lot. \n" ); document.write( "
Algebra.Com's Answer #695480 by Fombitz(32388)\"\" \"About 
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\n" ); document.write( ".
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\n" ); document.write( "\"A%5B1%5D=x%5E2\"
\n" ); document.write( "\"A%5B2%5D=y%5E2\"
\n" ); document.write( "\"A%5B1%5D%2BA%5B2%5D=5200\"
\n" ); document.write( "1.\"x%5E2%2By%5E2=5200\"
\n" ); document.write( "For the fence,
\n" ); document.write( "\"3y%2B%28y-x%29%2B3x=320\"
\n" ); document.write( "\"x%2B2y=160\"
\n" ); document.write( "2.\"x=160-2y\"
\n" ); document.write( "Substituting into 1,
\n" ); document.write( "\"%28160-2y%29%5E2%2By%5E2=5200\"
\n" ); document.write( "\"25600-640y%2B4y%5E2%2By%5E2-5200=0\"
\n" ); document.write( "\"5y%5E2-640y%2B20800=0\"
\n" ); document.write( "\"y%5E2-128y%2B4080=0\"
\n" ); document.write( "\"%28y-60%29%28y-68%29=0\"
\n" ); document.write( "Two solutions,
\n" ); document.write( "\"y-60=0\"
\n" ); document.write( "\"y=60\"
\n" ); document.write( "Then,
\n" ); document.write( "\"x=160-2%2860%29\"
\n" ); document.write( "\"x=160-120\"
\n" ); document.write( "\"x=40\"
\n" ); document.write( "and
\n" ); document.write( "\"y-68=0\"
\n" ); document.write( "\"y=68\"
\n" ); document.write( "Then,
\n" ); document.write( "\"x=160-2%2868%29\"
\n" ); document.write( "\"x=160-136\"
\n" ); document.write( "\"x=24\"\r
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