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【Haichuan Teahouse】Brain-teasing Series: Calculate area without knowing side lengths

2021-07-24View Original

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As can be seen from the figure, the side length of the small square is 8. What is the area of the shaded region in the figure?
Reply #22021-07-24
Area is 32. I confirmed it by using CAD for drawing, and I also calculated it with formulas; in both cases the result was 32
Reply #32021-07-24
Seriously, give it a like; actually, it’s just a drawing method
Reply #42021-07-24
How to draw a large square in CAD so that its area is 32? I still can’t figure out why this is the case, nor how to prove it It should be set up so that the unknown variables can cancel each other out.
Reply #52021-07-24
Look at the fourth floor – it’s a simple principle: the area of a triangle is equal to half the product of its base and height
Reply #62021-07-24
This is precisely the result of an inadequate foundation in epistemology
Reply #72021-07-24
The second square is a decoy
Reply #82021-07-24
The 【Haichuan Equipment Guessing】 series is being updated continuously in 2021; all Haiyu friends are welcome to participate actively! https://bbs.hcbbs.com/thread-2079686-1-1.html (Source: Haichuan Chemical Industry Forum – Huahai Chuanliu) ------------------------------------------------------------------------------- A compilation post in the 【Haichuan Safety Discussion】 series, which is being updated continuously; everyone is welcome to participate in the discussions! https://bbs.hcbbs.com/thread-3235104-1-1.html (Source: Haichuan Chemical Forum – Huahai Chuanliu) ----------------------------------------------------------------------- A compilation post on the history of Haichuan pipes is being updated continuously; learn about the development process of various types of pipes. https://bbs.hcbbs.com/thread-3068575-1-1.html (Source: Haichuan Chemical Forum – Huahai Chuanliu)
Reply #92021-07-26
In fact, as long as two squares with a side length of 8 are combined, it becomes obvious that the result is 4*8/2*2=32

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