Math question BMAT 2022 Q.24


Hi guys! I can’t solve the area of the STUVP.
I found that the area of PQRS is 12√3 and I approximated that the area of the lower figure will be 16 but it doesn’t yield me the right answer.

The correct answer is E. Thanks!

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Hope you can read my handwriting!

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hi why is UO = 4?
rest all makes sense.

Hey, it comes as definition of regular octagon. One of the properties of regular octagon is all symmetrical lines have equal length.
https://byjus.com/maths/octagon/ ← you can refer here!

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Would you mind going through that last step? , maths aint my best but I managed to get the 2 values for the ratio (12root3 and 16root2) just unsure how to get it into the ratio that you got as the answer