Question

The length of the rectangle is increased by 10% while its breadth is decreased by 10% what is the consequent percentage change in area of the rectangle

Answer 1

Suppose the length of rectangle to be 100 units and width to be 10 units.

Length (10% increase)= 100+(10/100*100)= 100 + 10= 110 units

Width (10% increase)= 10+(10/100*10)= 10+1= 11 units

Area of rectangle= l*b

=100*10= 1000 unit^2

Area of rectangle(10% increase in l and b) = l*b

=110*11= 1210 unit^2

Change in area= 1210–1000= 210 unit^2

%age increase in its area= Change in area/Actual area*100

=210/1000*100= 21%

Answer 2

the answer is 21%.....