Question 636347
If the perimeter of a square increases by 25% then its area increases by ?
ans:=
let the sides be a =>perimeter=4a
new perimeter=4A=4a+4a*25%=4a(1.25)
so A=a(1.25)
now new area=A^2=a^2(1.25)^2=a^2*1.5625
so the % increase in area=(A^2-a^2)*100/a^2=a^2(0.5625)*100/a^2=56.25% ans