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%

Correct Answer: 44% ✔

Last Updated: February 07, 2020