document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=11406>Question 11406</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An 8-inch-square picture is to be enlarged so it covers an area of 100 inches.How much longer will each side of the enlarged picture be? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #5904 by </B><A HREF=/tutors/aboutme.mpl?userid=prince_abubu><B>prince_abubu(198)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=prince_abubu><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=5904\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When you say 8-inch-square picture, I take it that you mean a picture with the dimensions 8 in by 8 in. If so, the area of that current picture is 64 square inches. I think you're asking for how many inches will have to be added to each side of that square picture so that the area will be enlarged to 100 square inches.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+%2A+8+=+64+ ALIGN=MIDDLE  ALT=\"+8+%2A+8+=+64+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <------- You know that a picture with sides that are 8 inches long has an area of 64 square inches.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%288+%2B+x%29%288+%2B+x%29+=+100+ ALIGN=MIDDLE  ALT=\"+%288+%2B+x%29%288+%2B+x%29+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <----- You wonder how much to add (+x) to the length and width of the picture so that the resulting area will be 100 square inches.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+64+%2B+16x+%2B+x%5E2+=+100+ ALIGN=MIDDLE  ALT=\"+64+%2B+16x+%2B+x%5E2+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <------ FOILed\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+16x+%2B+64+=+100+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+16x+%2B+64+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <------ Re-ordered the terms on the left side because it looks better this way.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+16x+-+36+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+16x+-+36+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <------ Subtract 100 from both sides. This way, the right side will be zero. We can only solve quadratic equations if the right side is equal to zero!\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x+%2B+18%29%28x+-+2%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28x+%2B+18%29%28x+-+2%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <-------- This is reverse-FOILING, or factoring. What we did was found two integers that when times'd together gives us -36 BUT add up to +16. 18 and -2 do it, so we put it in (x +/- ?)(x +/- ? ) form.\r<BR>\n" );
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document.write( "From the above, we can tell that x = -18 or x = 2. Since -18 is NOT a valid value for a measure (because we can't have negative measurements), the 2 is the correct answer. So, if we add 2 to the sides of the 8 x 8 square, we'll end up with a 10 x 10 square, which indeed will have an area of 100 square inches. </SPAN>\n" );
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