The figure shows two parallelograms ABCD and ABEF. Prove that Area of ADF = area of BCE.



Asked by Topperlearning User | 17th Aug, 2017, 01:59: PM

Expert Answer:

Parallelogram ABCD and parallelogram ABEF are on the same base AB and between the same parallels AB and FC.
ar (ABCD) = ar (ABEF)
Now   ar (ADF) = begin mathsize 12px style 1 half end stylear (ABEF)
(Same base AB and between the same parallels AB and FE)
Similarly, ar (BCE) =size 12px 1 over size 12px 2ar (ABCD)
 ar (ADF) = ar (BCE)

Answered by  | 17th Aug, 2017, 03:59: PM