document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018209>Question 1018209</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the perimeter of a piece of cardboard is 34 inches. squares measuring 2 inches on a side are cut from each corner so that when sides are folded up, the diagonal of the resulting box has length 7 inches. what are the original dimensions of the cardboard? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634378 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=634378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Account for perimeter of the uncut rectangle:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2y=34 ALIGN=MIDDLE  ALT=\"2x%2B2y=34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%2By=17%29 ALIGN=MIDDLE  ALT=\"highlight%28x%2By=17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > when that equation simplified.\r<BR>\n" );
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document.write( "The dimensional measurements for the base surface after the four cut squares removed and flaps folded become  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%2A2%29 ALIGN=MIDDLE  ALT=\"%28x-2%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-2%2A2%29 ALIGN=MIDDLE  ALT=\"%28y-2%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The given diagonal value, through the THREE dimensions follows Pythagorean Theorem formula:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x-4%29%5E2%2B%28y-4%29%5E2%2B2%5E2=7%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x-4%29%5E2%2B%28y-4%29%5E2%2B2%5E2=7%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, since the diagonal was given as 7.\r<BR>\n" );
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document.write( "The equations outlined in red color form a system to solve.  <BR>\n" );
document.write( "The 3-d diagonal equation should be simplified first...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28%28x-4%29%5E2%2B%28y-4%29%5E2=45%2Cx%2By=17%29 ALIGN=MIDDLE  ALT=\"system%28%28x-4%29%5E2%2B%28y-4%29%5E2=45%2Cx%2By=17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and go from there... </SPAN>\n" );
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