A regular octagon ABCDEFGH has sides of length two. Find the area of

Question

A regular octagon ABCDEFGH has sides of length two. Find the area of triangle ADG.

(A)  4 + 2\sqrt{2}

(B)  6 + \sqrt{2}

(C)  4 + 3\sqrt{2}

(D)  3 + 4\sqrt{2}

(E)  8 + \sqrt{2}

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ankitgoswami · Answer

We have to find the are of 🔺ADG

For that we need length of GD and AM

So
GD = EF + 2FX
=  2 + 2\sqrt{2}

Now similarly

AM =  2 + \sqrt{2}

Now solving for the area of 🔺ADG We get  4 + 3\sqrt{2}

Ans is  C

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