document.write( "Question 1193117: Rectangle ABCD is given
\n" ); document.write( "Given:
\n" ); document.write( "AB = x + y
\n" ); document.write( "BC = x + 2y
\n" ); document.write( "CD = 2x − y − 2
\n" ); document.write( "DA = 3x − 3y + 3
\n" ); document.write( "Find:x and y
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Algebra.Com's Answer #825109 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( " Rectangle \"ABCD\" is given\r
\n" ); document.write( "\n" ); document.write( "Given:
\n" ); document.write( "\"AB+=+x+%2B+y\"
\n" ); document.write( "\"BC+=+x+%2B+2y\"
\n" ); document.write( "\"CD+=+2x+-y+-+2\"
\n" ); document.write( "\"DA+=+3x+-3y+%2B+3\"\r
\n" ); document.write( "\n" ); document.write( "Find: \"x\" and \"y\"\r
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\n" ); document.write( "\n" ); document.write( "recall that opposite sides of a rectangle are equal in length, so\r
\n" ); document.write( "\n" ); document.write( "\"AB+=+CD\" and \"BC+=+DA+\"\r
\n" ); document.write( "\n" ); document.write( "then we have\r
\n" ); document.write( "\n" ); document.write( "\"x+%2B+y=+2x+-+y+-+2\"........solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"y+%2B+y%2B2=+2x+-+x+\"\r
\n" ); document.write( "\n" ); document.write( "\"x=2y%2B2+\".........eq.1\r
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\n" ); document.write( "\n" ); document.write( "\"x+%2B+2y=3x-+3y+%2B+3\"......solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"+3y+%2B+2y-3=3x+-x+\"\r
\n" ); document.write( "\n" ); document.write( "\"+5y-3=2x+\"\r
\n" ); document.write( "\n" ); document.write( "......multiply by \"2\"\r
\n" ); document.write( "\n" ); document.write( "\"4y%2B4=+5y-3\".......solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"3%2B4=+5y-4y\"\r
\n" ); document.write( "\n" ); document.write( "\"y=7\"\r
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\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( "\"x=2y%2B2+\".........eq.1, substitute \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"x=2%2A7%2B2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x=16\"\r
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\n" ); document.write( "\n" ); document.write( "now we can find the sides length:\r
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\n" ); document.write( "\n" ); document.write( "\"AB+=+x+%2B+y=16%2B7=23\"
\n" ); document.write( "\"BC+=+x+%2B+2y=16%2B2%2A7=30\"
\n" ); document.write( "\"CD+=+2x+-y+-2=2%2A16-7-2=32-9=23\"
\n" ); document.write( "\"DA+=+3x+-3y+%2B+3=3%2A16-3%2A7%2B3=30\"\r
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