2. ## Re: Interesting problem

Can you find the diagonal using the law of cosines?

3. ## Re: Interesting problem

Hello, aaronrpoole!

MartFL gave you a powerful hint.
But the answer is even simpler.

Consider the zigzag line.

Code:
      *
|.
3| .
|  . 4
*---.-----*
:   d.    |
:     .   |
5:      .  |5
:       . |
:        .|
* - - - - *
4
We want the hypotenuse $d$ of a 4-by-8 right triangle.

Then the side of the square is: $\frac{d}{\sqrt{2}}$

Therefore, the area of the square is: $\frac{d^2}{2}$

4. ## Re: Interesting problem

I'm pretty sure I'm supposed to have an integer value for the answer

5. ## Re: Interesting problem

Using soroban's technique, you will get an integer.

6. ## Re: Interesting problem

yeah I figured that out after I posted that. lol im stupid
Thanks for the help guys.