document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=15536>Question 15536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 2cm less than 7 times the width. The perimeter is 60cm. Find the width and length.\r<BR>\n" );
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document.write( "The second problem is:<BR>\n" );
document.write( "The first side of a triangle is 8m shorter than the second side. The third side is 4times as long as the first side. The perimeter is 26m. Find the length of each side.\r<BR>\n" );
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document.write( "Thank you so much for your help. I am in desperate need with college algebra.<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 #7709 by </B><A HREF=/tutors/aboutme.mpl?userid=pwac><B>pwac(253)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=pwac><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=7709\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> OK Problem 1)<BR>\n" );
document.write( "We have to derive an equation:Perimeter of rectangle is<BR>\n" );
document.write( "2 x width+2 x length<BR>\n" );
document.write( "If we have width = x<BR>\n" );
document.write( "The length will be 7x-2<BR>\n" );
document.write( "So our equation will be:<BR>\n" );
document.write( "2x+2(7x-2)=60 Multiply expression in bracket by 2<BR>\n" );
document.write( "2x+14x-4=60 Rearrange to get:<BR>\n" );
document.write( "16x=64 Divide both sides by 16<BR>\n" );
document.write( "x=4cm which is the width<BR>\n" );
document.write( "Length is (7x4)-2=26\r<BR>\n" );
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document.write( "Problem 2)<BR>\n" );
document.write( "Again need to derive an equation:<BR>\n" );
document.write( "Let second side=x <BR>\n" );
document.write( "so first side=x-8 and<BR>\n" );
document.write( "third=4(x-8).So our equation will be:<BR>\n" );
document.write( "x-8+x+4(x-8)=26 get rid of brackets by multiplying by the 4<BR>\n" );
document.write( "x-8+x+4x-32=26<BR>\n" );
document.write( "6x-40=26 Add 40 to both sides<BR>\n" );
document.write( "6x=66<BR>\n" );
document.write( "x=11  So 1st side=3m,2nd side=11m and 3rd=12m<BR>\n" );
document.write( "hope this helps<BR>\n" );
document.write( "Pete </SPAN>\n" );
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