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I'm stuck on the following question :
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: (long side of A3 sheet) ie. x
(long side of A4 sheet) y
I do actually know that the correct answer to this question is the square root of 2 but I need to show how this has been worked out and I don't have a clue.
Thanks
Richie
Hello, Richie92!
Quote:
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