document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=416916>Question 416916</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a rectangle, the length is 2 times the width. If the length and the width both increase by 3 cm, the area will increase by 54 cm2. How long are the length and the width? from Michael(5th grade) </SPAN>\n" );
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document.write( "let width =x, length = 2x\r<BR>\n" );
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document.write( "area = 2x * x = 2x^2\r<BR>\n" );
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document.write( "after increasing length and width, area = (x+3)(2x+3)\r<BR>\n" );
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document.write( "(x+3)*(2x+3) = 54 + 2x^2\r<BR>\n" );
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document.write( "=> 2x^2 + 9x + 9 = 54 + 2x^2\r<BR>\n" );
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document.write( "=> 9x = 54-9 = 45\r<BR>\n" );
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document.write( "=> x = 5\r<BR>\n" );
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document.write( "so, width = 5 cm , length = 10 cm\r<BR>\n" );
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document.write( " </SPAN>\n" );
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