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

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

A.

12.22 %

B.

12.48 %

C.

12.05 %

D.

12.32 %

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+8×4100=12.32%8+4+\frac{8\times4}{100} = 12.32\%(increase)​

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