document.write( "Question 357025: If the base of a triangle increases by 5% and its corresponding altitude decreases by 5%, by what percent does the area of the triangle change? \n" ); document.write( "

Algebra.Com's Answer #255095 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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If the base of a triangle increases by 5% and its corresponding altitude decreases by 5%,
\n" ); document.write( " by what percent does the area of the triangle change?
\n" ); document.write( ":
\n" ); document.write( "A1 = .5*b*h
\n" ); document.write( "Assume b & h = 1
\n" ); document.write( "A1 = .5, original area
\n" ); document.write( ":
\n" ); document.write( "New b = 1.05; new h = .95
\n" ); document.write( "A2 = .5*1.05*.95
\n" ); document.write( "A2 = .49875; new area
\n" ); document.write( ":
\n" ); document.write( ".5 - .49875 = .00125; less area
\n" ); document.write( ":
\n" ); document.write( " $\".00125%2F.5\"$ * 100 = .25% reduction in area \n" ); document.write( "

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