If the length and width of a rectangular grand are each increased by 20% then what would be the percent increase in the area of the garden?
A. 20%
B. 24%
C. 36%
D. 44%
Let length = x metres and breadth = y metres , then area =(xy)m2
New length = 120/100x (6x/5)m
New breadth = 120/100 y = 6y/5m
New area (6x/5 x 6y/5)m2 = (36/25 xy)m2
Increase in area = (36/25xy – xy)m2 = (11/25 xy)m2
Increase % = (11/25 xy x 1/xy x 100)% = 44%