document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=281440>Question 281440</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The side of one square is 5 units longer than that of another square. Their areas differ by 105 square units. The lengths of their sides are:\r<BR>\n" );
document.write( "\n" );
document.write( "(A) 5 and 10 units (B) 7.5 and 12.5 units (C) 8 and 13 units<BR>\n" );
document.write( "(D) 15 and 20 units (E) none of these\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204448 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=204448\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The side of one square is 5 units longer than that of another square. Their areas differ by 105 square units. The lengths of their sides are: <BR>\n" );
document.write( "(A) 5 and 10 units (B) 7.5 and 12.5 units (C) 8 and 13 units<BR>\n" );
document.write( "(D) 15 and 20 units (E) none of these \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let x be the length of the sides of the smaller square. Then x+5 is the length of the sides of the larger square. Then the areas of the squares are x^2 and (x+5)^2 respectively.\r<BR>\n" );
document.write( "\n" );
document.write( "So we have:\r<BR>\n" );
document.write( "\n" );
document.write( "(x+5)^2 - x^2 = 105\r<BR>\n" );
document.write( "\n" );
document.write( "Expanding using FOIL gives us:\r<BR>\n" );
document.write( "\n" );
document.write( "x^2 + 10x + 25 - x^2 = 105\r<BR>\n" );
document.write( "\n" );
document.write( "10x + 25 = 105\r<BR>\n" );
document.write( "\n" );
document.write( "Solve for x and calculate x+5. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );