Prove that the area of a parallelogram is the product of any base of it and the corresponding altitude.

Asked by Topperlearning User | 17th Aug, 2017, 12:14: PM

Expert Answer:

 
Let ABCD be the parallelogram and BL the altitude corresponding to the side AB.
Complete the rectangle ABLM.
Parallelogram ABCD and rectangle ABLM are on the same base and between the same parallels AB and MC.
ar(ABCD) = ar(ABLM)
ar(ABCD) = AB x BL         (area of a rectangle = length x breadth)
Hence, the area of a parallelogram is the product of any base of it and the corresponding altitude.

Answered by  | 17th Aug, 2017, 02:14: PM