document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=722578>Question 722578</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider two rectangles, A and B. Rectangle A is four times as long as rectangle B and three times as wide. The perimeter of rectangle A is 106 cm and the perimeter of rectangle B is 30 cm.<BR>\n" );
document.write( "What are the dimensions of the larger rectangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #442812 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=442812\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider two rectangles, A and B. Rectangle A is four times as long as rectangle B and three times as wide.<BR>\n" );
document.write( " The perimeter of rectangle A is 106 cm and the perimeter of rectangle B is 30 cm.<BR>\n" );
document.write( "What are the dimensions of the larger rectangle?<BR>\n" );
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document.write( "Let a = length of the small rectangle<BR>\n" );
document.write( "then<BR>\n" );
document.write( "4a = the length of the large rectangle<BR>\n" );
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document.write( "Let b = the width of the small rectangle<BR>\n" );
document.write( "then<BR>\n" );
document.write( "3b = the width of the large rectangle<BR>\n" );
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document.write( "\" The perimeter of rectangle A is 106 cm\"<BR>\n" );
document.write( "2(4a) + 2(3b) = 106<BR>\n" );
document.write( "simplify, divide by 2<BR>\n" );
document.write( "4a + 3b = 53<BR>\n" );
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document.write( "\"the perimeter of rectangle B is 30 cm.\"<BR>\n" );
document.write( "2a + 2b = 30<BR>\n" );
document.write( "simplify, divide by 2<BR>\n" );
document.write( "a + b = 15<BR>\n" );
document.write( "b = (15-a)<BR>\n" );
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document.write( "Replace b with (15-a) in the 1st perimeter equation<BR>\n" );
document.write( "4a + 3(15-a) = 53<BR>\n" );
document.write( "4a + 45 - 3a<BR>\n" );
document.write( "4a - 3a = 53 - 45<BR>\n" );
document.write( "a = 8 cm is the length of the small rectangle<BR>\n" );
document.write( "and<BR>\n" );
document.write( "b = 15-8<BR>\n" );
document.write( "b = 7 cm is the width of the small rectangle<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"What are the dimensions of the larger rectangle?<BR>\n" );
document.write( "4(8) = 32 cm is the length<BR>\n" );
document.write( "3(7) = 21 cm is the width<BR>\n" );
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document.write( "See if the that checks out, find the perimeter with these values<BR>\n" );
document.write( "2(32) + 2(21) = <BR>\n" );
document.write( "64 + 42 = 106 </SPAN>\n" );
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