Hello, Richie92!

An A3 sheet of paper can be cut into 2 sheets of A4.

The A3 and A4 sheets are mathmatically similar.

Find the scale factor: .x/y

. . where *x* = long side of A3, *y* = long side of A4.

A3 is an x-by-y rectangle. Code:

x
* - - - - - - - - - *
| |
| |
y | A3 | y
| |
| |
* - - - - - - - - - *
x

It is bisected into two rectangles where A3 ~ A4. Code:

½x
* - - - - *
| |
| |
y | A4 |y
| |
| |
* - - - - *
½x

. . . . . . . . ½x . . . y . . . . .x²

We have: . ---- .= .-- . → . --- .= .2

. . . . . - - - .y . . - .x . . . . .y²

. . . . - - . . .x . . . . _

Therefore: . -- .= .√2

. . . . - - . . .y