document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=526024>Question 526024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me with this word problem?<BR>\n" );
document.write( "     You are making a square frame of uniform width for a square picture that has side lengths of 2 feet. The total area of the frame is 5 square feet. What is the length of the sides of the frame?\r<BR>\n" );
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document.write( "Kamsahamnida! (Thank You!)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348294 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=348294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are making a square frame of uniform width for a square picture that has side lengths of 2 feet. The total area of the frame is 5 square feet. What is the length of the sides of the frame? <BR>\n" );
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document.write( "picture area = 2*2 = 4 sq. ft.<BR>\n" );
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document.write( "Let the uniform with of the frame be \"x\".<BR>\n" );
document.write( "The outer dimensions of the frame are (2+2x)ft by (2+2x) ft<BR>\n" );
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document.write( "Area of the whole picture with frame = (2+2x)^2 = 4+8x+4x^2<BR>\n" );
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document.write( "So, area of the frame alone is 4x^2+8x+4-4 = 4x^2+8x<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "Solve for \"x\":<BR>\n" );
document.write( "4x^2+8x = 5<BR>\n" );
document.write( "4x^2+8x-5 = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = [-8 + sqrt(64-4*4*-5)]/8<BR>\n" );
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document.write( "x = [-8 + sqrt(144)]/8<BR>\n" );
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document.write( "x = [-8+12]/8<BR>\n" );
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document.write( "x = 1/2 ft<BR>\n" );
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document.write( "Length of the out sides of the frame = (2+2x) = 2+1 = 3 ft.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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