document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151194>Question 1151194</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The side length of square A is 36 cm. The side length of square B is 42 cm. What is the ratio of the area of square A to the area of square B? Express your answer as a common fraction. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #772855 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=772855\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The solution by tutor @MathLover1 is perfectly good... but it involves calculations much more complicated than necessary.  The solution can be achieved much more easily using a basic fact about similar figures.<br><BR>\n" );
document.write( "All squares are similar.  The ratio of the side lengths of the two squares is 36:42 = 6:7.<br><BR>\n" );
document.write( "In any similar figures, the ratio of area measurements is the square of the ratio of the linear measurements.  So the ratio of the areas of these two squares is 6^2:7^2 = 36:49; or, expressed as a common fraction, 36/49.<br><BR>\n" );
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