School-Safe Puzzle Games

## Unique Window

How can a window, having a height equal to its width, be made twice as large without increasing its height or width?

(will unmask any submitted answers to this puzzle in 24-48 hrs, thanks)

### 24 Comments to “Unique Window”

1. ian | Guest

open it up.

2. suineg | Guest

ok, here i think is a possible answer:
Rotate 90 degrees the window so the diagonal is his height.
Explanation:
the window is a square, you conect the two pairs of non adyacent corners and you have a square with twice of the area:
now every edge of the square has the size of the diagonals, if the size of an edge in the original square was “A”, the size of the new square will be for phytagoras theorem: (A) sqroot2–> the original area was A*A the new area is the double: 2* A*A
note: tha windows is gonna be open from his diagonal.

3. Ari | Guest

The first window is a rhombus with equal diagonals D.

Then let’s make a square window with each side the same length as the rhombus’ diagonal D
(the width and height remain the same between the two windows).

The area of the first window is ½D^2
The area of the second window is D^2

So the area of the second window is twice the area of the first and.

4. Shawn | Guest

double-pane window

5. Shawn | Guest

OR, if the window has the shape of any acute triangle with a height of 10″ and a base width of 10″, then it would have 1/2 of the area of a 10″ square

6. Jenny | Guest

Open the Window up,
or put a giant magnify glass in front of it…

7. oscar | Guest

Double its thickness..

8. rrrrrr | Guest

we should put a mirror

9. Misha | Guest

The window is a diamond shape initially. When expanded into a rectangle, it keeps its same height and width but doubles its area.

10. Jay | Guest

The only guess I have is to make 4 panes into triangles w/ equal heights as the sides and make a “pyramid” out of it. Height and width remains the same but surface area is multiplied by 2….

11. xena | Guest

The window started off shaped as a triangle.

12. Filoso | Guest

uh? What about increasing the size length wise?

13. falwan | Guest

Make the word “window” twice as big.

falwan

14. brian | Guest

open the windows.

15. jennifer | Guest

how should i know?!?!?!?!?!?! :P

16. scott k | Guest

i guess u could say open the blinds so each adds half the windows width to each side of the window when viewed from the outside….

maybe… opening a window that rises straight up makes it twice as thick on that half of the window.

17. luagirl77 | Guest

Open the window.

Shall I hazard a guess?
Open the window in question.

19. RK | Profile

couple of good lateral thinking type answers given above…

what I had in mind is as Ari describes. I think Shawn & Suineg’s answers are similar in concept too

20. rmsphoto | Profile

Easy. Increase the depth. Bow the window either inward or outward, like the windows on custom vans from the ’70’s.

21. Roshkins | Profile

how about the windows width = 0? Then Height = 0, so The Width = 2 * Height.

22. Seirei | Profile

At this point we have 4 windows each taking up 1/4 of the full space; there are two windows on each door. Opening one of the doors means that there will now be three total windows, two taking up 1/4 of the space, one taking up 1/2 of the space. Therefore, the area of one of the windows has now been doubled.

Voila!

23. ponchai nandhayo | Profile

open the window