Question

What happens to the area of the parallelogram if the base is increased 2 times and the height is halved? 

(i) Decreases to half 

(ii) Remains the same 

(iii) Increase by two times 

(iv) None

Answer 1

(ii) Remains the same

Area = b x h sq. units 

New base = 2 x old base 

New height = \(\frac{1}{2}\) x old height

New Area = New base x New height = (2 x b)\(\frac{1}{2}\) x h = bh = old Area.