document.write( "Question 279061: A rectangle's length is 3 times its width. Its area is 108 square cm. What are its dimensions. \n" ); document.write( "
Algebra.Com's Answer #202964 by oberobic(2304)\"\" \"About 
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\"A+=+Area+of+rectangle\"
\n" ); document.write( "\"L+=+Length\"
\n" ); document.write( "\"W+=+Width\"
\n" ); document.write( "\"A+=+L+%2A+W\"
\n" ); document.write( "\"A+=+108\"
\n" ); document.write( "\"L+=+3W\"
\n" ); document.write( ".
\n" ); document.write( "\"108+=+L+%2A+W+=+3W+%2A+W+=+3W%5E2\"
\n" ); document.write( "\"W%5E2+=+108%2F3+=+36\"
\n" ); document.write( "\"W+=+sqrt%2836%29+=++6\"
\n" ); document.write( ".
\n" ); document.write( "The square root of 36 is either +6 or -6, BUT a negative width does not make sense, so we can start with w=6.
\n" ); document.write( ".
\n" ); document.write( "\"L+=+3W+=+3%2A6+=+18\"
\n" ); document.write( ".
\n" ); document.write( "Checking the A
\n" ); document.write( "\"18+%2A+6+=+108\"
\n" ); document.write( "OK.
\n" ); document.write( ".
\n" ); document.write( "Answer:
\n" ); document.write( "The rectangle's length is 18; the width is 6.
\n" ); document.write( ".
\n" ); document.write( "Done
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