# Draw 4 straight lines to create 10 equal squares in this image

You can draw up to 4 straight lines in order to create 10 equal squares in the following figure:

Please ignore my painting skill. i am not good at it

• Beat me to it..! Commented Jun 29, 2015 at 15:36
• Man, I turned on gridlines in Paint and everything! Commented Jun 29, 2015 at 15:37
• Same here: got the 1 new answer just as I finished drawing it. :( Commented Jun 29, 2015 at 15:38
• Correct answer. This question was asked in a interview Commented Jun 29, 2015 at 15:43
• First of all, the "question" most definitely is not a question. The title is a command and the body is a statement, so yes it is a poorly worded question. Secondly, I do not see "geometric construction" so that appears to be an assumption on your part. Thirdly, I assumed the question was about where to place the lines and not how to place the lines (seeing as the OP accepted this answer I am assuming I am correct). Fourthly, this answer most definitely should have a paragraph describing the placement of the lines to make up for its crude drawing. Commented Jun 30, 2015 at 18:10

Kavi Temre got this first, but here's my unnecessarily clear image:

• Good one. We have same logical thinking Commented Jun 29, 2015 at 15:44
• Wait don't lines extend infinitely though? /s Commented Jun 29, 2015 at 16:18
• Yeah, these are just segments.
– user5521
Commented Jun 29, 2015 at 22:18
• Well, if we're talking like that then that can't be the definition of a line in this context. The question said "you can draw up to 4 straight lines". If, however, a line was infinite, I wouldn't be able to draw it. ;D Commented Jun 30, 2015 at 10:27
• @Samthere: Sure you can, the question says so :-) Commented Jul 1, 2015 at 12:42

I need 12 lines - 8 to find the centers of the large squares (thanks Aragaer for noticing that we get the center "for free"), then 4 to create the 10 equal squares. You could argue that the 10 dashed lines are not drawn as part of the "creating squares". In fact, you could use a ruler to draw just the little orange "helper marks" in order to do the construction.

It does assume that the two initial shapes are squares.

• You could use just 8 dashed lines. Either 4 and 5 or 6 and 7 could be dropped, the other two will work. You do have the center of the image. Commented Jun 30, 2015 at 23:06
• @aragaer Good call - I missed the center point. I will update. Commented Jul 1, 2015 at 0:13
• Well done Floris +1 for dotted lines Commented Jul 1, 2015 at 1:44