The station master decides to increase the length and decrease the breadth of a rectangular digital board by 7% and 7% respectively. Show changes in total area

Explanation

Let the length and breadth of the rectangular board be and y respectively. As we know, Area of the rectangular board = xy New length of the rectangle = ×107/100 = 1.07x . New breadth of the rectangle = y 93/100 = 0.93y New area of the rectangle = 1.07x × 0.93y = 0.9951xy Area decreased by (in %) = [(xy-0.9951xy)/xy] 100 a ix = 0.49% .