document.write( "Question 636347: If the perimeter of a square increases by 25% then its area increases by ? \n" ); document.write( "

Algebra.Com's Answer #400929 by sachi(548) $\"\"$ $\"About$

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If the perimeter of a square increases by 25% then its area increases by ?
\n" ); document.write( "ans:=
\n" ); document.write( "let the sides be a =>perimeter=4a
\n" ); document.write( "new perimeter=4A=4a+4a*25%=4a(1.25)
\n" ); document.write( "so A=a(1.25)
\n" ); document.write( "now new area=A^2=a^2(1.25)^2=a^2*1.5625
\n" ); document.write( "so the % increase in area=(A^2-a^2)*100/a^2=a^2(0.5625)*100/a^2=56.25% ans \n" ); document.write( "

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