document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=326973>Question 326973</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular garage is 9 feet longer than it is wide. If the area of the garage is 630 square feet, find the length and the width. \r<BR>\n" );
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document.write( "Please show the work you did, (steps) so I can learn how to do this. Thank you in advance :0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #234181 by </B><A HREF=/tutors/aboutme.mpl?userid=jvan><B>jvan(28)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jvan><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=234181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Thanks for thanking me in advance! Haha, that's cute ^.^\r<BR>\n" );
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document.write( "Since this is a word problem, you want to write out the equations. Let L equal the length of the garage. Let W equal the width of the garage. \"A rectangular garage is 9 feet longer than it is wide\": <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=W%2B9 ALIGN=MIDDLE  ALT=\"L=W%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Now for the next equation. You know <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area=length%2Awidth ALIGN=MIDDLE  ALT=\"Area=length%2Awidth\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=630=L%2AW ALIGN=MIDDLE  ALT=\"630=L%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" >. You can plug the first equation into the second to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=630=%28W%2B9%29%2AW ALIGN=MIDDLE  ALT=\"630=%28W%2B9%29%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" >. After you distribute the w you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=630=+W%5E2%2B9W ALIGN=MIDDLE  ALT=\"630=+W%5E2%2B9W\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Subtract 630 from both sides to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=W%5E2%2B9w-630 ALIGN=MIDDLE  ALT=\"0=W%5E2%2B9w-630\"   DISABLED_style= \"max-width:90%; height:auto;\" >. You can plug this into the quadratic formula to get the value of W: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"W=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Let a=1, b=9, and c=-630 (these are just the numbers in front of the terms =). After you plug the numbers into the quadratic equation and solve, you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=21 ALIGN=MIDDLE  ALT=\"W=21\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=-30 ALIGN=MIDDLE  ALT=\"W=-30\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Since the length can't be negative, we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=21 ALIGN=MIDDLE  ALT=\"W=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >. You can find the value of L by plugging <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=21 ALIGN=MIDDLE  ALT=\"W=21\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=W%2B9 ALIGN=MIDDLE  ALT=\"L=W%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=630=L%2AW ALIGN=MIDDLE  ALT=\"630=L%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Since it doesn't matter which equation you use, you might as well use the easier equation! I choose to plug <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=21 ALIGN=MIDDLE  ALT=\"W=21\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=W%2B9 ALIGN=MIDDLE  ALT=\"L=W%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >. After solving for L you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=30 ALIGN=MIDDLE  ALT=\"L=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >. You can check that these lengths will give an area of 630 square feet for the garage: 21*30=630 square feet! The sides of the garage are thus 21 feet width by 30 feet long. If you need anymore help from me, you can visit me at my website: http://myonlinetutor.webs.com! Become a member \(^o^)/!!! Thanks in advance, haha XD </SPAN>\n" );
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