document.write( "Question 224248: the length of a rectangle is increased by 120% and its width is decreased by 20%, what is the resulting percentage increase or decrease in the area? Justify your answer algebraically. \n" ); document.write( "
Algebra.Com's Answer #167745 by drj(1380)\"\" \"About 
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The length of a rectangle is increased by 120% and its width is decreased by 20%, what is the resulting percentage increase or decrease in the area? Justify your answer algebraically.\r
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\n" ); document.write( "\n" ); document.write( "Step 1. 120% means 1.2 and 20% means 0.20\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let L be the original length and 1.20L be the increased length.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let w be the original width and (1-0.2)w=0.8w be the reduced width.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Let w*L be the original area.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. Then, (0.8w)*(1.20L)=0.96w*L = (1-0.04)w*L\r
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\n" ); document.write( "\n" ); document.write( "Step 6. ANSWER: The area is 96% of the original area or the area is reduced by 4%.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
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