document.write( "Question 813318: If area of rectangle is 30cm2 and its perimeter is 22 cm what will be lengths of its sides \n" ); document.write( "
Algebra.Com's Answer #489580 by AlbertusK(3)\"\" \"About 
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Area of rectangle = 30cm2.
\n" ); document.write( "Perimeter of rectangle = 22 cm.\r
\n" ); document.write( "\n" ); document.write( "Assume that it's length is L and it's width is W.\r
\n" ); document.write( "\n" ); document.write( "So we can conclude that L.W = 30 and (2L+2W)=22 --> L+W=11.\r
\n" ); document.write( "\n" ); document.write( "It's just a simple linear problem. We have L = 11-W and just subtitute L for \r
\n" ); document.write( "\n" ); document.write( "L.W=30. So the result is (11-W).W = 30.\r
\n" ); document.write( "\n" ); document.write( "11W - W^2 - 30 = 0 --> W^2 - 11W + 30 = 0 --> (W-6)(W-5)=0.\r
\n" ); document.write( "\n" ); document.write( "So there are 2 possibilities for it's width namely 5 cm and 6 cm.\r
\n" ); document.write( "\n" ); document.write( "So there are also 2 possibilities for it's length namely 6cm and 5cm.\r
\n" ); document.write( "\n" ); document.write( "The answer is (L,W) = (6,5) and (5,6).
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