The length of a rectangle is increased by 10 % and the breadth is decreased by 10 %. Then the area of the new rectangle is
Correct Answer : c ) Decreased by 1%Explanation :
Let the length of the rectangle is L and the breadth is B.
The initial area of the rectangle = LB
According to the question, the length is increased by 10 % while the breadth of the rectangle is decreased by 10 %.
New length of rectangle ( L’ ) = 1.1 L
New breadth of rectangle ( B’ ) = 0.9 B
Area of rectangle after correction = ( L’ * B’ )
Area of rectangle after correction = ( 1.1 L * 0.9 B )
Area of rectangle after correction = 0.99 LB
Decrease in Area of the rectangle after correction = ((LB - 0.99LB)/LB) * 100 % = 1%
Thus, it is 1 % lesser than the initial area.
Hence, (c) is the correct answer.