document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=158976>Question 158976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangular playing field is 5 meters less than twice its width. if 230 meters of fencing goes around the field, find the dimensions of the field. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117089 by </B><A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><B>Electrified_Levi(103)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><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=117089\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, Hope I can help<BR>\n" );
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document.write( "The length of a rectangular playing field is 5 meters less than twice its width. if 230 meters of fencing goes around the field, find the dimensions of the field.<BR>\n" );
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document.write( "First we have to find variables for length and width<BR>\n" );
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document.write( "The length of a rectangular playing field is 5 meters less than twice its width.<BR>\n" );
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document.write( "We can name the width \"x\"<BR>\n" );
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document.write( "The length of a rectangular playing field is 5 meters less than twice its width, if the width is \"x\", and the length is 5 meters less than twice the width, this is how you right the length, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28width%29+-+5+ ALIGN=MIDDLE  ALT=\"+2%28width%29+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, width = \"x\" <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28x%29+-+5+ ALIGN=MIDDLE  ALT=\"+2%28x%29+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+-+5+ ALIGN=MIDDLE  ALT=\"+2x+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The length = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+-+5+ ALIGN=MIDDLE  ALT=\"+2x+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The width = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Since 230 meters of fencing goes around the field, we are trying to find the Perimeter of the field<BR>\n" );
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document.write( "The length = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+-+5+ ALIGN=MIDDLE  ALT=\"+2x+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The width = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The Perimeter of a Rectangle is = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28width%29+%2B+2%28length%29+=+Perimeter+ ALIGN=MIDDLE  ALT=\"+2%28width%29+%2B+2%28length%29+=+Perimeter+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "They give us the Perimeter, 230 meters, so we can replace \"Perimeter\" with \"230\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28width%29+%2B+2%28length%29+=+Perimeter+ ALIGN=MIDDLE  ALT=\"+2%28width%29+%2B+2%28length%29+=+Perimeter+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28width%29+%2B+2%28length%29+=+230+ ALIGN=MIDDLE  ALT=\"+2%28width%29+%2B+2%28length%29+=+230+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Since the width = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the length = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+-+5+ ALIGN=MIDDLE  ALT=\"+2x+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can replace \"width\" and \"length\" with our variables<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28width%29+%2B+2%28length%29+=+230+ ALIGN=MIDDLE  ALT=\"+2%28width%29+%2B+2%28length%29+=+230+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28x%29+%2B+2%282x+-+5%29+=+230+ ALIGN=MIDDLE  ALT=\"+2%28x%29+%2B+2%282x+-+5%29+=+230+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, now just solve for \"x\"<BR>\n" );
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document.write( "We will get rid of the parentheses, and use distribution<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28x%29+%2B+2%282x+-+5%29+=+230+ ALIGN=MIDDLE  ALT=\"+2%28x%29+%2B+2%282x+-+5%29+=+230+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+highlight%282%29%28highlight%282x%29+-+5%29+=+230+ ALIGN=MIDDLE  ALT=\"+2x+%2B+highlight%282%29%28highlight%282x%29+-+5%29+=+230+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+highlight%282%29%282x+-+highlight+%285%29%29+=+230+ ALIGN=MIDDLE  ALT=\"+2x+%2B+highlight%282%29%282x+-+highlight+%285%29%29+=+230+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+4x+-+10+=+230+ ALIGN=MIDDLE  ALT=\"+2x+%2B+4x+-+10+=+230+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Since the \"5\" is negative the number will be negative)<BR>\n" );
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document.write( "Add like terms<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+4x+-+10+=+230+ ALIGN=MIDDLE  ALT=\"+2x+%2B+4x+-+10+=+230+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%282x%29+%2B+highlight%284x%29+-+10+=+230+ ALIGN=MIDDLE  ALT=\"+highlight%282x%29+%2B+highlight%284x%29+-+10+=+230+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6x+-+10+=+230+ ALIGN=MIDDLE  ALT=\"+6x+-+10+=+230+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will move (-10) to the right side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6x+-+10+=+230+ ALIGN=MIDDLE  ALT=\"+6x+-+10+=+230+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6x+-+10%2B10+=+230%2B10+ ALIGN=MIDDLE  ALT=\"+6x+-+10%2B10+=+230%2B10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6x+=+240+ ALIGN=MIDDLE  ALT=\"+6x+=+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, To solve \"x\" we will divide each side by \"6\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6x+=+240+ ALIGN=MIDDLE  ALT=\"+6x+=+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6x%2F6+=+240%2F6+ ALIGN=MIDDLE  ALT=\"+6x%2F6+=+240%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+240+ ALIGN=MIDDLE  ALT=\"+x+=+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+40+ ALIGN=MIDDLE  ALT=\"+x+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "x = \"40\", we can check by replacing \"x\" with \"40\" in our equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28x%29+%2B+2%282x+-+5%29+=+230+ ALIGN=MIDDLE  ALT=\"+2%28x%29+%2B+2%282x+-+5%29+=+230+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2840%29+%2B+2%282%2840%29+-+5%29+=+230+ ALIGN=MIDDLE  ALT=\"+2%2840%29+%2B+2%282%2840%29+-+5%29+=+230+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80+%2B+2%2880+-+5%29+=+230+ ALIGN=MIDDLE  ALT=\"+80+%2B+2%2880+-+5%29+=+230+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80+%2B+2%2875%29+=+230+ ALIGN=MIDDLE  ALT=\"+80+%2B+2%2875%29+=+230+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80+%2B+150+=+230+ ALIGN=MIDDLE  ALT=\"+80+%2B+150+=+230+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+230+=+230+ ALIGN=MIDDLE  ALT=\"+230+=+230+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( True )<BR>\n" );
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document.write( "x = \"40\"<BR>\n" );
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document.write( "Our width and length in variable form were:(Just replace \"x\" with \"40\" in our equations)<BR>\n" );
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document.write( "The length = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+-+5+ ALIGN=MIDDLE  ALT=\"+2x+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2840%29-5+ ALIGN=MIDDLE  ALT=\"+2%2840%29-5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80+-+5+ ALIGN=MIDDLE  ALT=\"+80+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 75<BR>\n" );
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document.write( "The width = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  40 <BR>\n" );
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document.write( "Since the unit is the meter, our answers would be <BR>\n" );
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document.write( "The Length =  75  meters<BR>\n" );
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document.write( "The Width =  40 meters<BR>\n" );
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document.write( "Hope I helped, Levi </SPAN>\n" );
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