CBSE Class 9 Answered
The figure shows two parallelograms ABCD and ABEF. Prove that Area of
ADF = area of
BCE. ![](https://images.topperlearning.com/topper/questions/9050_image005.jpg)
![](https://images.topperlearning.com/topper/questions/9050_image002.gif)
![](https://images.topperlearning.com/topper/questions/9050_image002.gif)
![](https://images.topperlearning.com/topper/questions/9050_image005.jpg)
Asked by Topperlearning User | 17 Aug, 2017, 13:59: PM
Parallelogram ABCD and parallelogram ABEF are on the same base AB and between the same parallels AB and FC.
![](https://images.topperlearning.com/topper/questions/9050_image003.gif)
Now ar
(ADF) =
ar (ABEF)
![](https://images.topperlearning.com/topper/questions/9050_dac84c31850f292e0bb60901680b27b7.png)
![begin mathsize 12px style 1 half end style](https://images.topperlearning.com/topper/tinymce/cache/5107c69396d58b972e42f10155f0f60a.png)
(Same base AB and between the same parallels AB and FE)
Similarly, ar
(BCE) =
ar (ABCD)
![](https://images.topperlearning.com/topper/questions/9050_dac84c31850f292e0bb60901680b27b7.png)
![size 12px 1 over size 12px 2](https://images.topperlearning.com/topper/tinymce/cache/c48496b1377677d452dcb9fa98b5d02d.png)
![](https://images.topperlearning.com/topper/questions/9050_image007.gif)
![](https://images.topperlearning.com/topper/questions/9050_dac84c31850f292e0bb60901680b27b7.png)
![](https://images.topperlearning.com/topper/questions/9050_dac84c31850f292e0bb60901680b27b7.png)
Answered by | 17 Aug, 2017, 15:59: PM
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