document.write( "Question 823250: [ A rectangular picture measures 6 inches by 9 inches. If a copy machine makes each of the two dimensions 1+1/3 larger, what is the percent increase in the area of the picture? ] \n" ); document.write( "
Algebra.Com's Answer #495354 by TimothyLamb(4379)\"\" \"About 
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\n" ); document.write( "original area:
\n" ); document.write( "a = Lw
\n" ); document.write( "---
\n" ); document.write( "scale factor:
\n" ); document.write( "s = 1+1/3 = 4/3
\n" ); document.write( "---
\n" ); document.write( "scaled area:
\n" ); document.write( "A = sL*sw
\n" ); document.write( "A = ss*Lw
\n" ); document.write( "---
\n" ); document.write( "percent increase in area:
\n" ); document.write( "p = A/a * 100
\n" ); document.write( "p = ss*Lw/Lw * 100
\n" ); document.write( "p = ss * 100
\n" ); document.write( "p = (4/3)^2 * 100
\n" ); document.write( "p = 177.777777
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "p ~= 177.8% increase in area
\n" ); document.write( "in other words, not quite a doubling of the area
\n" ); document.write( "note that the original dimensions of the picture do not matter at all in this calculation
\n" ); document.write( "---
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