IMAT 2018, Question 54

A pentagon has one line of symmetry. All five sides are 6 cm, and the interior angles, in anticlockwise order, are 60°, 150°, 90°, 90° and 150°.

What is the area of this pentagon?

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hey, this is how I would solve this question
even if you don’t know the formula for the area of Equilateral triangle you can use the Pythagorean formula
sorry for the bad handwriting though

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Yes, you’re right, thank youu! I drew the pentagon differently, and that was why I didn’t seem to get the right result. I was sure it was simple.

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