document.write( "Question 266265: Two opposite sides of a square are increased by twenty-five percent while the other two are decreased by forty percent. Find the percent of decrease in the area of the square.\r
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document.write( "(A) 15% (B) 25% (C) 30% (D) 32.5% (E) none of these\r
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Algebra.Com's Answer #195650 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Two opposite sides of a square are increased by twenty-five percent while the other two are decreased by forty percent. Find the percent of decrease in the area of the square. \n" ); document.write( "Area of original square: s^2 where s is the length of a side \n" ); document.write( "Area of new rectangle: \n" ); document.write( "((5/4)s)((6/10)s) = (3/4)s^2 \n" ); document.write( "Quantity of decrease = s^2 - (3/4)s^2 = (1/4) s^2 \n" ); document.write( "% of decrease = [(1/4)s^2]/s^2 = 1/4 = 25% \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "(A) 15% (B) 25% (C) 30% (D) 32.5% (E) none of these \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |