You split the L-shape into two nice, proper rectangles, find the centre of mass of each, and then find the weighted average based on their areas. But the first time I saw this problem, I kept getting the wrong answer because I was in such a hurry to finish and go help Appa at the stall before the evening rush. He taught me to slow down, saying, "Swalpa calmly, the sambar won’t taste right if the flame is too high." Now I draw each rectangle’s centre so carefully, like how he measures his rice and urad dal for the batter, because rushing just ruins the balance.
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