document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=142453>Question 142453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Tom’s uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side.  What is the length of each side?\r<BR>\n" );
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document.write( "2. In an auditorium there are 4x rows, and each row can accommodate 5yz benches. If x students can be accommodated in each bench, then how many students can sit in the auditorium? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103737 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=103737\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Tom’s uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side. What is the length of each side?<BR>\n" );
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document.write( "Let x = longest side length<BR>\n" );
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document.write( "Write an expression for each statement:<BR>\n" );
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document.write( "\"The shortest side is 30 yards longer than one-half of the longest side.:<BR>\n" );
document.write( "(.5x + 30) = shortest side<BR>\n" );
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document.write( "\"The second longest side is 2 yards shorter than the longest side.\"<BR>\n" );
document.write( "(x-2) = 2nd longest side<BR>\n" );
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document.write( "The perimeter equation (the 3 sides = 378)<BR>\n" );
document.write( "x + (.5x + 30) + (x-2) = 378<BR>\n" );
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document.write( "x + .5x + x + 30 - 2 = 378; combine like terms<BR>\n" );
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document.write( "2.5x + 28 = 378<BR>\n" );
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document.write( "2.5x = 378 - 28; subtracted 28 from both sides<BR>\n" );
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document.write( "2.5x = 350<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350%2F2.5 ALIGN=MIDDLE  ALT=\"350%2F2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >; divided both sides by 2.5<BR>\n" );
document.write( "x = 140 yds is the longest side<BR>\n" );
document.write( "then<BR>\n" );
document.write( ".5(140) + 30 = 100 yds the shortest side<BR>\n" );
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document.write( "140 - 2 = 138 yds the 2nd longest side<BR>\n" );
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document.write( "Check solution by finding the perimeter using these values<BR>\n" );
document.write( "140 + 100 + 38 = 378<BR>\n" );
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document.write( "2. In an auditorium there are 4x rows, and each row can accommodate 5yz benches. If x students can be accommodated in each bench, then how many students can sit in the auditorium?<BR>\n" );
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document.write( "The total benches:<BR>\n" );
document.write( "4x * 5yz = 20xyz benches<BR>\n" );
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document.write( "The total students<BR>\n" );
document.write( "x * 20xyz = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20x%5E2yz ALIGN=MIDDLE  ALT=\"20x%5E2yz\"   DISABLED_style= \"max-width:90%; height:auto;\" > students  </SPAN>\n" );
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