Question

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

Answer 1

Answer:

Let the length of rectangle be a

And width of rectangle be b

  Area = ab

length = a + 50% of a

           = a+ 50a/100

           = a+a/2

           = 3a/2

 width = b - 50% of b

           = b - b/2

           = b/2

  Area = 3a/2 * b/2

           = 3ab/4

Decrease in Area = ab - 3ab/4

                             = ab/4

percentage of decrease in area = [( Area ab/4) * 100]   / ab

                                     = 100 / 4

                                     = 25 per cent...

ALL THE BEST DEAR.