document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=228242>Question 228242</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a red rectangle is 15 cm more than its width w. A blue rectangle, which is 5 cm wider and 2 cm shorter than the red one, has perimeter 72 cm. Find the dimensions of each rectangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169484 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=169484\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The length of a red rectangle is 15 cm more than its width w. A blue rectangle, which is 5 cm wider and 2 cm shorter than the red one, has perimeter 72 cm. Find the dimensions of each rectangle.\r<BR>\n" );
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document.write( "Step 1.  Perimeter P means adding up all 4 sides of a rectangle.\r<BR>\n" );
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document.write( "Step 2.  Let w be the width of the red rectangle\r<BR>\n" );
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document.write( "Step 3.  Let w+15 be the length of the red rectangle\r<BR>\n" );
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document.write( "Step 4.  Let w+5 be the width of the blue rectangle\r<BR>\n" );
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document.write( "Step 5.  Let w+15-2=w+13 be the length of the blue rectangle\r<BR>\n" );
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document.write( "Step 6.  Then for the blue rectangle, P=w+5+w+5+w+13+w+13=4w+36=72\r<BR>\n" );
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document.write( "Step 7.  Solving  4w+36=72 using the following steps\r<BR>\n" );
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document.write( "Subtract 36 from both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4w%2B36-36=72-36 ALIGN=MIDDLE  ALT=\"4w%2B36-36=72-36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4w=36 ALIGN=MIDDLE  ALT=\"4w=36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by 4 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4w%2F4=36%2F4 ALIGN=MIDDLE  ALT=\"4w%2F4=36%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=9 ALIGN=MIDDLE  ALT=\"w=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2B15=24 ALIGN=MIDDLE  ALT=\"w%2B15=24\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2B5=14 ALIGN=MIDDLE  ALT=\"w%2B5=14\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2B13=22 ALIGN=MIDDLE  ALT=\"w%2B13=22\"   DISABLED_style= \"max-width:90%; height:auto;\" >  And <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2%2814%2B22%29=72 ALIGN=MIDDLE  ALT=\"P=2%2814%2B22%29=72\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is a true statement\r<BR>\n" );
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document.write( "Step 5.  ANSWER:  For the red triangle the width is 9 cm and the length is 24 cm.  For the blue triangle, the width is 14 cm and the length is 22 cm.\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J<BR>\n" );
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