document.write( "Question 790391: A rectangle has an area of 48 inches squared. Every dimension of the rectangle is multiplied by a scale factor, and the new rectangle has an area of 12 inches squared. What was the scale factor? \n" ); document.write( "
Algebra.Com's Answer #479124 by mananth(16946)\"\" \"About 
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let length be x
\n" ); document.write( "then width = 48/x\r
\n" ); document.write( "\n" ); document.write( "multiply by factor y\r
\n" ); document.write( "\n" ); document.write( "xy = 48y/x\r
\n" ); document.write( "\n" ); document.write( "(xy)(48y)/x = 12\r
\n" ); document.write( "\n" ); document.write( "48y^2=12\r
\n" ); document.write( "\n" ); document.write( "y^2=12/48\r
\n" ); document.write( "\n" ); document.write( "y^2= 1/4\r
\n" ); document.write( "\n" ); document.write( "y= +/-1/2\r
\n" ); document.write( "\n" ); document.write( "= 1/2
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