document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153234>Question 1153234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular mosaic is to be constructed from 70 congruent square tiles, each of side length 6 inches. Determine the minimum perimeter of the mosaic </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #775437 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=775437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The solution from the other tutor is fine; but you can get to the answer without nearly as much work as she shows using some basic concepts.<br><BR>\n" );
document.write( "Let the dimensions of the rectangle be x and y.  Then we have<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy+=+70 ALIGN=MIDDLE  ALT=\"xy+=+70\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "with x and y whole numbers; and we are to minimize the perimeter, 2x+2y, which is the same as minimizing x+y.<br><BR>\n" );
document.write( "A general principle for minimizing x+y when the product xy is fixed is that the difference between x and y should be minimum.<br><BR>\n" );
document.write( "In this problem, with a product of 70 and both numbers being whole numbers, that means the dimensions are 10 and 7.<br><BR>\n" );
document.write( "Then the perimeter (in number of blocks) is 2(10+7) = 34; and the perimeter in inches is 34*6 = 204.<br><BR>\n" );
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