If base of parallelogram is halved and height of parallelogram is doubled then area of parallelogram
Answers
Given as :
Original height of Parallelogram = h unit
Original base of Parallelogram = b unit
New height of Parallelogram is doubles
New base of Parallelogram is tripled
To Find :
New Area of Parallelogram
Solution :
∵ New height of Parallelogram is doubles
So, New height of Parallelogram = h' = 2 h
∵ New base of Parallelogram is tripled
So, New base of Parallelogram = b' = 3 b
Now,
∵ Area of a Parallelogram = Height × Base
So, Area of original parallelogram = height × base
= h × b
Similarly
Area of new parallelogram = height × base
= h' × b'
= 2 h × 3 b
= 6 × h × b
So, The Area of new parallelogram = 6 × Area of original parallelogram
Hence, Area of new parallelogram become 6 times area of original parallelogram .