document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151683>Question 151683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can anyone seem to help me with this problem? I have come to a complete blank on it.\r<BR>\n" );
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document.write( "Question 64\r<BR>\n" );
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document.write( "Address book<BR>\n" );
document.write( "The perimeter of the cover of an address book is 14 inches, and the diagonal measures 5 inches. What are the length and width of the cover?<BR>\n" );
document.write( "x^2 + x^2 = 5^2<BR>\n" );
document.write( "x^4 = 25<BR>\n" );
document.write( "x^4 - 25 = 14\r<BR>\n" );
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document.write( "I do not know what to do next. I followed the Pythagorean steps, but cannot figure out what has gone wrong.<BR>\n" );
document.write( "Thanks.\r<BR>\n" );
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document.write( "Amanda<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 #111497 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=111497\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The perimeter of the cover of an address book is 14 inches, and the diagonal measures 5 inches. What are the length and width of the cover?<BR>\n" );
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document.write( "Since we will be using Pythagoras, let the length and width = a & b<BR>\n" );
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document.write( "Perimeter is given so we have:<BR>\n" );
document.write( "2a + 2b = 14<BR>\n" );
document.write( "Simplify, divide by 2<BR>\n" );
document.write( "a + b = 7<BR>\n" );
document.write( "or<BR>\n" );
document.write( "a = (7-b)<BR>\n" );
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document.write( "Enter Pythagoras:<BR>\n" );
document.write( "a^2 + b^2 = 5^2<BR>\n" );
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document.write( "Substitute (7-b) for a, find b<BR>\n" );
document.write( "(7-b)^2 + b^2 = 25<BR>\n" );
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document.write( "FOIL (7-b)<BR>\n" );
document.write( "49 - 14b + b^2 + b^2 = 25 <BR>\n" );
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document.write( "Arrange as a quadratic equation<BR>\n" );
document.write( "2b^2 - 14b + 49 - 25 = 0<BR>\n" );
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document.write( "2b^2 - 14b + 24 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(2b - 8)(b - 3) = 0<BR>\n" );
document.write( "Solutions<BR>\n" );
document.write( "2b = 8<BR>\n" );
document.write( "b = 4<BR>\n" );
document.write( "and<BR>\n" );
document.write( "b = 3<BR>\n" );
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document.write( "We can use either solution if b=4, then a=3, or vice-versa<BR>\n" );
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document.write( "Was this understandable to you? </SPAN>\n" );
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