Assuming 2 squares, shaded area is sum of both Smaller sq = 4a² Bigger sq = (2a+√2a)² = 2a²(√2+1)² Sum = 2a²(2+(1+√2)²) = 2a²(1+1+2√2+2) Sum = 4a²(2+√2) Or p=4
Going to sleep now, but I'd say it's the area of the big square with each side 2a+/2a, plus the areas of the 4 pointy things sticking out, or 2 complete squares of side a. Will look later to see...
this kind of stuff help students to be smart or the art of thinking . well my formula for this problem is ((a^2)* √3 *4) * ((3+a)^2) . which is lengthy but faster since i do not know formula but my thought process generate a formula immediately and same thought process help me to be ready when i needed to take decisions and it's nerdy fun too
you’re practicing breaking down complicated problems into simpler ones that you can solve individually, you’re using your pattern recognition skills to notice the repetition in the regularity of the shape and also to recall area formulas that you know already. you’re also working on visualization because you’re seeing the inner shape instead as a large square with four small isosceles right triangles coming off of its sides, you’re ‘seeing’ the divisions between those shapes.
![Why you didn't learn tetration in school[Tetration]](http://i.ytimg.com/vi/Ea1_1aVfwl4/mqdefault.jpg)
![Why you didn't learn tetration in school[Tetration]](/img/tr.png)
“To my regular followers, they’re used to seeing lots of As” clever, and kind!
weird crossover with the uk that took me off guard lol
Assuming 2 squares, shaded area is sum of both
Smaller sq = 4a²
Bigger sq = (2a+√2a)² = 2a²(√2+1)²
Sum = 2a²(2+(1+√2)²) = 2a²(1+1+2√2+2)
Sum = 4a²(2+√2)
Or p=4
What do you mean by small sq? Half of sq? If yes, it should be 2a^2? 🤔
This was indeed a lot of fun
I sat this paper for my exam last year! I remember this question was super fun
Nice
Length times Girth over Angle of the Shaft (aka YAW) divided by mass over WIDTH
Going to sleep now, but I'd say it's the area of the big square with each side 2a+/2a, plus the areas of the 4 pointy things sticking out, or 2 complete squares of side a.
Will look later to see...
did this paper, was tricky under timed conditions, but got it regardless
p=4 so the answer is 4×(2+√2)×a²
I got an A at gcse. Did not get A* though...
so you got an 8?
And what does this do for you in life? Besides becoming a teacher to teach it to others
it's just neat :-)
this kind of stuff help students to be smart or the art of thinking . well my formula for this problem is ((a^2)* √3 *4) * ((3+a)^2) . which is lengthy but faster since i do not know formula but my thought process generate a formula immediately and same thought process help me to be ready when i needed to take decisions and it's nerdy fun too
you’re practicing breaking down complicated problems into simpler ones that you can solve individually, you’re using your pattern recognition skills to notice the repetition in the regularity of the shape and also to recall area formulas that you know already. you’re also working on visualization because you’re seeing the inner shape instead as a large square with four small isosceles right triangles coming off of its sides, you’re ‘seeing’ the divisions between those shapes.
You get to make joax about "420" and "69".
How exciting...
@chittadilsay1 but what and what did u use to solve this. U can't just think of some random no.s
Is the answer (2+√2)(2+√2)a² ?
Is the answer 2(2+sqr2)a^2