Thread died right after I solved it. Let's see if you can get it

Thread died right after I solved it. Let's see if you can get it.

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too many squares and triangles for me to give a shit

14.7

36 cm2?

32, of course

Blue

Nice! I have the same answer. Show me how you got it.

...

different guy who also got 32. Look at the 16cm one. notice that the borders arent symmetrical. If you do make them symmetrical, they will both be 24cm. also it will be appearant that they are half the area of the square. 24x2=48-16=32.

? = C + D
Also: 2A + 2B + C + D = 16 + 20 + 28 = 64
Thus: ? = 64 - 2A - 2B

Notice that A + B = 16
Thus B = 16 - A

Substitute:
? = 64 - 2A - 2(16 - A)
? = 64 - 2A - 32 + 2A
? = 32

so you are telling me that the sides of the square are 9.79795897?

Yes the total area is 64 + 32 = 96 so the sides are sqrt(96)

Very simple to solve.

If each section starts at the middle of each side, and all for sections meet at any point inside the square, then the sum of the areas of the opposing sections will be equal.

16 + x = 20 + 28
x = 48 - 16 = 32

From the diagram:

a + b = 16
b + c = 20
a + d = 28
c + d = ?

trivially:
a + b + c + d = a + b + c + d

now substitute:
16 + ? = a + d + b + c
16 + ? = 28 + 20
? = 48 - 16 = 32

10/10

How are you getting 2x on anything? A and the other A are clearly different sizes, same with b,c,d

also, im not saying your answer is wrong, just your math assumptions.

>being this autistic

32

A and A are equal. They are two triangles with the same base and the same height.

the total area must be a perfect square
defined areas add to 64
next two perfect squares are 81 and 100
81-64=17 area, which would be too small
100-64=36 area, which looks about right
next highest would be 121, too big

Nobody said the sides have to be whole numbers, therefore the area doesn't have to be a perfect square

No you idiot, the total area does not have to be a perfect square

mathcentral.uregina.ca/QQ/database/QQ.09.08/h/zack1.html

Isnt this a lot of extra steps?

Imagine this square is equally cubed. All 4 cubes would be equivalent. Now leave the outside attachments in place and move the center + of the cube anywhere... as it moves you are subtracting area from one spot and adding it to another. So anywhere you move this spot the diagonals should always be equal to each other, right?
So you can just set them equal and solve, super easy.
28+20=16+x
32=x

32
20-16 = 4
28+ 4 = 32
im fucking drunk bruh

Yes, I thought the = sides was only that quadrant, not the entire drawing, makes sense now

It's not trivially clear that the area you subtract on one side will equal the area added to the other side - you need to prove that part first