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Explanation:

​​​​​​​

m∠ECD = m∠BCF = 60°
Also, m∠AFB = 60°, m∠BFC = 30°
∴ m∠AFC = 90°
In a 30° - 60° - 90° triangle, sides are in the ratio 1:3:2.

So, in ∆EDC, ED = 10√3 units

Also, in ∆FBC, BF = 10 units

FC=20​​​​​​​ units and BC =  ​​​​​​​103

In ∆AFC,

FC=203 unitsAC=403 units

AD=10+403 units

A(ADE)=12×103×10+403

= 50(√3 + 4) sq.units

Hence, option (d).

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