You weren’t bad at maths — you just weren’t looking at it the right way
Junaid Mubeen

Ever since I read this article, it has got me thinking about other possible pictorial representations of algebraic formulae. So, after thinking for a while I succeeded in representing (a+b)² as the sum of three different types of squares viz. 1 square of area a², 4 squares of area ab/2 each and another four having a combined area of 4*(b²/4). However, after all this I’m still confused as to why exactly is the area of a square the product (and not any other arithmetic operation) of its sides?

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