Question

Perimet er of a square increased 25% . how much area increased?

Answer 1

Word Problems: GeometrySolversLessonsAnswers archive   Click here to see ALL problems on Geometry Word ProblemsQuestion 636347: If the perimeter of a square increases by 25% then its area increases by ? 
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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
Answer by solver91311(22189)   (Show Source):You can put this solution on YOUR website!


If you increase the perimeter of a square by 25%, you must increase each side by 25%, so now each side is 1.25 times the original measure. The area of the original square would be  and the area of the new square is . Square 1.25 to get the factor of increase, subtract 1, then multiply by 100 to get the percentage increase.