document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182156>Question 1182156</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "Originally the ratio of the width of a rectangle to the length is 4 to 3. The rectangle is altered such that its width and length each increase by 5 inches. The area of the new rectangle is greater than the area of the old rectangle by 200 square inches. What are the length and width of the original rectangle. <BR>\n" );
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document.write( "Given the ratio 4 to 3...<br><BR>\n" );
document.write( "Let original length be 4x<BR>\n" );
document.write( "Let original width be 3x<br><BR>\n" );
document.write( "That is a standard way to start work on a problem where a ratio is given.<br><BR>\n" );
document.write( "The increased length is 4x+5; the increased width is 3x+5.<br><BR>\n" );
document.write( "The original area is (4x)(3x); the new area is (4x+5)(3x+5).<br><BR>\n" );
document.write( "The increase in area is 200 (square inches):<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%2B5%29%283x%2B5%29-%284x%29%283x%29+=+200 ALIGN=MIDDLE  ALT=\"%284x%2B5%29%283x%2B5%29-%284x%29%283x%29+=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "That equation simplifies to a linear equation (the x^2 terms cancel), so solving the problem from there should be easy.<br><BR>\n" );
document.write( "Remember when you solve the equation for x, that is not the answer to the problem; the answer is original length=4x and original width=3x.<br><BR>\n" );
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