document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127764>Question 1127764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ABCD is a rectangle where A is (1,3) and D is (5,5). AC lies on the line 3y=4x+5. find;<BR>\n" );
document.write( "i) The equation of DC<BR>\n" );
document.write( "ii) The coordinates of C and B<BR>\n" );
document.write( "iii) Area of ABCD. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744230 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=744230\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "I'll try to get you pointed in the right direction and let you do the work....<br><BR>\n" );
document.write( "i) Equation of CD<br><BR>\n" );
document.write( "Since ABCD is a rectangle, you know that CD is perpendicular to AD.<BR>\n" );
document.write( "Find the slope of AD using the given coordinates.<BR>\n" );
document.write( "The slope of CD is the negative reciprocal of the slope of AD.<BR>\n" );
document.write( "Find the equation of CD using the slope of CD and the coordinates of point D.<br><BR>\n" );
document.write( "ii) Coordinates of C and B<br><BR>\n" );
document.write( "C is the intersection of AC and DC.  You have the equations for both lines.  Solve the pair of equations to find the coordinates of C.<BR>\n" );
document.write( "Then find the coordinates of B knowing that opposite sides of the rectangle are parallel and the same length.<br><BR>\n" );
document.write( "(iii) Area of ABCD<br><BR>\n" );
document.write( "The area is length times width.  Use the Pythagorean theorem to find the two lengths of the sides of the rectangle.<br><BR>\n" );
document.write( "Hint: If you have done all the calculations correctly, the area is an integer, even though the side lengths are not. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );