The base of a parallelogram is increased by 8% and height is increased by 4%. Find the net increase percentage in its area.

Correct option is D

Given:

Base increased by 8% 

Height increased by 4% 

Concept Used:

The area of a parallelogram is directly proportional to the product of base and height.

Solution: 

New base = 1.08b

New height = 1.04h

New Area = 1.08 × 1.04 × Original Area

= 1.1232 × Original Area

Percentage Increase = (1.1232 − 1) × 100=12.32% 

Alternate Solution: ​

Net increase in Area;

= $$8+4+\frac{8\times4}{100} = 12.32\%$$(increase)​