document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=293420>Question 293420</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You made a square card to send to a friend. The card did not fit in the envelope so you had to trim the card. You trimmed 4 inches from the length and 5 inches from the width. The area of the resulting card is 20 square inches.<BR>\n" );
document.write( "a. what were the original dimensions<BR>\n" );
document.write( "b. What was the perimeter of the original card?<BR>\n" );
document.write( "c. What is the difference in the areas of the original and trimmed cards?\r<BR>\n" );
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document.write( "could you please also show me how you got the answers. Thank You </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #211829 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=211829\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You trimmed 4 inches from the length and 5 inches from the width. (a square card)<BR>\n" );
document.write( " The area of the resulting card is 20 square inches.<BR>\n" );
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document.write( "a. what were the original dimensions<BR>\n" );
document.write( "Let x = side length of the the original square card<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x-4) = one side of the trimmed card<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(x-5) = the other side<BR>\n" );
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document.write( "Area of resulting card given as 20 sq/in, therefore:<BR>\n" );
document.write( "(x-4) * (x-5) = 20<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "x^2 - 5x - 4x + 20 = 20<BR>\n" );
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document.write( "x^2 - 9x + 20 - 20 = 0<BR>\n" );
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document.write( "x^2 - 9x = 0<BR>\n" );
document.write( "Factor out x<BR>\n" );
document.write( "x(x - 9) = 0<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "x = 0 (obviously not this one)<BR>\n" );
document.write( "x = 9 in by 9 are the dimensions of the original square card<BR>\n" );
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document.write( "b. What was the perimeter of the original card?<BR>\n" );
document.write( "4(9) = 36 in <BR>\n" );
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document.write( "c. What is the difference in the areas of the original and trimmed cards?<BR>\n" );
document.write( "9^2 - 20 = 61 sq inches<BR>\n" );
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document.write( "Check solution<BR>\n" );
document.write( "Trimmed card dimensions<BR>\n" );
document.write( "9 - 5 = 4<BR>\n" );
document.write( "9 - 4 = 5<BR>\n" );
document.write( "4 by 5 inches<BR>\n" );
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document.write( "trimmed card area: 4 * 5 = 20<BR>\n" );
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document.write( "Did I explain this well enough for you to understand it?<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );