document.write( "Question 99905: A rectangle with a length of 3 and width of (\"x- 1\")has an area of \"m\" square units and the perimeter of \"2m\" units. What is the value of \"x\"? \n" ); document.write( "
Algebra.Com's Answer #72815 by edjones(8007)\"\" \"About 
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A=L*W
\n" ); document.write( "A=3(x-1)=3x-3=m
\n" ); document.write( "P=2(L+W)=2(3+x-1)=2(x+2)=2x+4=2m
\n" ); document.write( ".
\n" ); document.write( "3x-3=m
\n" ); document.write( "2x+4=2m
\n" ); document.write( ".
\n" ); document.write( "3x-m=3
\n" ); document.write( "2x-2m=-4
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\n" ); document.write( "multiply -2 times the top equation:
\n" ); document.write( "-6x+2m=-6
\n" ); document.write( "2x-2m=-4
\n" ); document.write( "----------add
\n" ); document.write( "-4x=-10
\n" ); document.write( "x=2.5 Ans.
\n" ); document.write( "replace 2.5 for x in the 1st equation: m=3*2.5-3=7.5-3=4.5
\n" ); document.write( "m=4.5
\n" ); document.write( "Check:
\n" ); document.write( "3*(2.5-1)=4.5 true
\n" ); document.write( "2(3+2.5-1)=2*4.5...2*4.5=2*4.5 true
\n" ); document.write( "Ed\r
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