If the length and width of a rectangular grand are each increased by 20% then w

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Question

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?

Options:

A . 20%

B . 24%

C . 36%

D . 44%

Answer: Option D

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%

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