Question

The length of a rectangular field is increase d by 50% and its breadth is decreased by 50% to form a new rectangular field .find the percentage change in the area of the field

Answer 1

let length of rectangle is L
    breadth of rectangle is B
area of rectangle = LB

          a/c to question,
length increased by 50% e.g., new length of rectangle is L + L/2 = 3L/2
breadth decreased by 50% e.g., new breadth of reactangle is B - B/2 = B/2

now, new area of rectangle is 3L/2 * B/2 = 3LB/4 

hence, % change in area = ( final area - initial area )/initial area * 100
                                        = (3LB/4 -LB)/LB *100 = -25%
here negative sign shows area decreased by 25 %

Answer 2

hi Saurabh that's your answer if u like it than please mark as brainlist