Question 1031701
The base of a particular parallelogram is 4 times its height.

Area = b * h

b=4h

Area = 4h*h = 4h^2

the new height = 2h
and new base = 8h

Area = 16h^2

16h^2 = 4h^2 +972

12h^2 = 972
h^2= 81

h= 9 taking positive value

height = 9 in
and base = 9*4 = 36 in