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 #400937 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Area of square=Side*Side or A=S^2---formula #1 \n" ); document.write( "Perimeter of square=Side+Side+Side+Side or P=4S or S=P/4 formula #2 \n" ); document.write( "Lets put the value of S from formula #2 into formula #1 and we get \n" ); document.write( "A(b)=(P/4)^2=P^2/16-----formula #3-- before the increase \n" ); document.write( "Now if we increase P by 25%, we get 1.25P \n" ); document.write( "A(a)=(1.25P)^2/16=1.562P^2/16----formula #4---after increase \n" ); document.write( "Looking at formula #4, we see that P^2/16=A(b); the area before the increase \n" ); document.write( "Sooooo A(a)=1.56A(b) or the area after the perimeter is increased increases by 1.562 units\r \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " \n" ); document.write( " |