Question

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Answer 1

Answer:

Since ABCD is a parallelogram, therefore sides AD and BC are equal.

Since DCFE is also a parallelogram, therefore, sides DE and FC are equal.

Since ABFE is also a parallelogram, therefore, sides AE and BF are equal.

So, triangles ADE and BCF are congruent by SSS congruency rule.

∴ Corresponding angles are equal in both triangles

So, the areas will be equal.

Therefore ar(ADE)=ar(BCF).