Originally posted by Ragnorak
I know there are a lot of maths enthusiasts here, and I was hoping to use your skills for a practical purpose. I need to find the area of 2 irregularly shaped rooms.
1 is 410 x 275 x 401.5 x 293 (all cms)
2 is 564 x 244 x 619 x 415
I have made a rough guesstimate, but need something a bit more accurate. Is there enough info, or would I ...[text shortened]... right direction, great. If somebody can actually work it out, then even better.
You need one of the angles.
Think of it this way: If you took 4 sticks each of the lengths you specified (or maybe shrink them all by factor of 10 so you can actually deal with them) and tie them end to end to end to end, you could pull two opposite corners and stretch the whole contraption, thus changing the area. However, if you were to fix one of the joints (glue, rather than tie), then the rest of the sticks would have only two possible combinations, either the interior angle formed by the two remaining sticks is less than 180 degrees or greater than 180 degrees. (I'm making the assumption that it would be less than 180, so there would only be one possible solution if you can identify any one of the four angles.)