document.write( "Question 1063348: If the length of a rectangle increases by 2 cm, its area will increase by 12 cm2. If the width increases by 3 cm, its area will increase by 21cm^2. What is the original area of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #678447 by josgarithmetic(39617)\"\" \"About 
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w and L the origina width and length
\n" ); document.write( "A the original area\r
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\n" ); document.write( "\n" ); document.write( "\"system%28A=wL%2Cw%28L%2B2%29=A%2B12%2C%28w%2B3%29L=A%2B21%29\"\r
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\n" ); document.write( "\n" ); document.write( "That is the system to solve.\r
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\n" ); document.write( "\n" ); document.write( "The second equation:
\n" ); document.write( "\"wL%2B2w=A%2B12\"
\n" ); document.write( "\"wL%2B2w=wL%2B12\"
\n" ); document.write( "\"2w=12\"
\n" ); document.write( "\"w=6\"\r
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\n" ); document.write( "\n" ); document.write( "The third equation:
\n" ); document.write( "\"wL%2B3L=A%2B21\"
\n" ); document.write( "\"wL%2B3L=wL%2B21\"
\n" ); document.write( "\"3L=21\"
\n" ); document.write( "\"L=7\"\r
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\n" ); document.write( "\n" ); document.write( "Width is 6
\n" ); document.write( "Length is 7
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