If the sides of a square are increased by 1%, then the area of this square will be increased by what %?

Question

The length of a rectangle exceeds its width by 5m. If the width is increased by 1m and the length is decreased by 2m, the area of the new rectangle is 4 sq.m less than the area of the original rectangle. Find the dimensions of the original rectangle.

Answer 1

101^2/100^2 = 1.0201......

Answer 2

Answer is 2.01%

Answer 3

Ans:
If side of square is 100
Then area =100 ^2
If increase side by 1% ie from 100to101
Then area will be =101^2
Therefore increase in area
=101^2/100^2
=1.0201
=2.01%

Answer 4

increase side of square = a+a*1%
= a+a*1/100
= a+0.01a
= 1.01a
area of square= a^2
= (1.01a)^2
= 1.020a^2
% increase in area = (1.020a^2-a^2/a^2)*100
= 0.020*100
= 2% (approx)