document.write( "Question 250839: This is a simple algebra question: \"Find the dimensions of a rectangle whose perimeter is 42 m and whose area is 104 m (squared).\" \n" ); document.write( "
Algebra.Com's Answer #184437 by drk(1908)\"\" \"About 
You can put this solution on YOUR website!
we need two formulas:
\n" ); document.write( "\"P+=+2L+%2B+2W\"
\n" ); document.write( "\"A+=+LW\".
\n" ); document.write( "From our given information we have
\n" ); document.write( "(i) \"42+=+2L+%2B+2W\"
\n" ); document.write( "(ii) \"104+=+LW\"
\n" ); document.write( "Solve equation (ii) for L.
\n" ); document.write( "(iii) \"L+=+104%2FW\"
\n" ); document.write( "Substitute (iii) information into (i) to get
\n" ); document.write( "(iv) \"42+=+208%2FW+%2B+2W\"
\n" ); document.write( "or
\n" ); document.write( "(v) \"21+=+104%2FW+%2B+W\"
\n" ); document.write( "Now multiply both sides by W to get
\n" ); document.write( "\"21W+=+104+%2B+W%5E2\"
\n" ); document.write( "set this equal to 0 and factor.
\n" ); document.write( "\"w%5E2+-+21W+%2B+104\"
\n" ); document.write( "\"%28W-13%29%28W-8%29+=+0\"
\n" ); document.write( "W = 13, W = 8.
\n" ); document.write( "If W = 13m, then L = 8m.
\n" ); document.write( "If W = 8m, then L = 13m.\r
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