document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162743>Question 162743</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a.<BR>\n" );
document.write( "A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500 ft diagonally. \r<BR>\n" );
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document.write( "b.<BR>\n" );
document.write( "Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119952 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=119952\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (x+100)^2+x^2=500^2<BR>\n" );
document.write( "x^2+200x+10,000+x^2=250,000<BR>\n" );
document.write( "2x^2+200x+10,000-250,000=0<BR>\n" );
document.write( "2x^2+200x-240,000=0<BR>\n" );
document.write( "2(x^2+100x-120,000)=0<BR>\n" );
document.write( "2(x-300)(x+400)=0<BR>\n" );
document.write( "x-300=0<BR>\n" );
document.write( "x=300 is the width.<BR>\n" );
document.write( "300+100=400 is the length.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "400^2+300^2=250,000<BR>\n" );
document.write( "160,000+90,000=250,000<BR>\n" );
document.write( "250,000=250,000<BR>\n" );
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document.write( "let x, x+2 & x+4 be the 3 integers.<BR>\n" );
document.write( "(x+4)^2=(x+2)^2+264<BR>\n" );
document.write( "x^2+8x+16=x^2+4x+4+264<BR>\n" );
document.write( "8x-4x=264-16+4<BR>\n" );
document.write( "4x=252<BR>\n" );
document.write( "x=252/4<BR>\n" );
document.write( "x=63 is the smallest integer.<BR>\n" );
document.write( "61+2=65 for the middle integer.<BR>\n" );
document.write( "61+4=67 is the largest integer.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "67^2=65^2+264<BR>\n" );
document.write( "4,489=4,225+264<BR>\n" );
document.write( "4,489=4,489 </SPAN>\n" );
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