document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011028>Question 1011028</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A side of a square is 2 cm greater than one of the sides of a rectangle and 5 cm smaller than the other side of the rectangle. Find the area of the square, if it is known, that it is 50 cm2 smaller that the area of the rectangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #626562 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=626562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A side of a square is 2 cm greater than one of the sides of a rectangle and 5 cm smaller than the other side of the rectangle.<BR>\n" );
document.write( " Find the area of the square, if it is known, that it is 50 cm2 smaller that the area of the rectangle.<BR>\n" );
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document.write( "Let L = length of the rectangle<BR>\n" );
document.write( "Let W = the width<BR>\n" );
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document.write( "\"A side of a square is 2 cm greater than one of the sides of a rectangle and 5 cm smaller than the other side of the rectangle.\"<BR>\n" );
document.write( "All side of the square is equal, therefore<BR>\n" );
document.write( "L - 5 = W + 2 <BR>\n" );
document.write( "L = W + 7<BR>\n" );
document.write( "\"The square is 50 cm2 smaller that the area of the rectangle.\"<BR>\n" );
document.write( "L*W - (W+2)^2 = 50<BR>\n" );
document.write( "Replace L with (w+7); FOIL (W+2)(W+2)<BR>\n" );
document.write( "W(W+7) - (W^2 + 4W + 4) = 50<BR>\n" );
document.write( "W^2 + 7W - W^2 - 4W - 4 = 50<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "3W = 50 + 4<BR>\n" );
document.write( "3W = 54<BR>\n" );
document.write( "W = 54/3<BR>\n" );
document.write( "W = 18 is the width of the rectangle<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "18+2 = 20 cm is the side of the square<BR>\n" );
document.write( "and<BR>\n" );
document.write( "20^2 = 400 sq/cm is the area of the square<BR>\n" );
document.write( " </SPAN>\n" );
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