You've probably done a bit of work with area. I expect I know that it was like: plug and chug. Put numbers into formulas. Get numbers back out.
We can do better. We will do better. We'll derive the formulas, and we'll put them to use in problems that require more than plug and chug.
10.1 The Area Postulates
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10.2 Rectangle Area
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10.3 Parallelogram, Triangle and Trapezoid Area
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10.4 Center, Circumradius, Apothem
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10.5 Regular Polygon Area
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10.6 Circle Area
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10.7 Similarity and Area
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10.8 The Real Pythagorean Theorem
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10.9 Two Truths and a Lie