Puzzle Trio 5
||An anagram is a word or phrase whose letters can be re-arranged to make some other word or phrase.|
For example: claim hat mate is an anagram of: mathematical.
Solve these, knowing each makes a single word used in mathematics.
| ||laces||Vi died ||crust in boat
|| ||coster||Dina do it ||cat liver
|| ||use ream||Sam, cheat Tim ||implicit in a lot
||Starting in any cell of the grid on the right, moving up and down or across, but NOT diagonally, it is possible to make a tour which visits ALL 9 cells of the grid.
A tour may start in any one of the 9 cells.
No cell may be visited more than once (so the tour cannot cross over itself)
How many different tours are possible?
||The drawing shows 2 oblongs with ABCD resting on top of AECF.
Though the oblongs are of different sizes, corners A and C are coincident.
All edges are an exact number of centimetres in length.
What are the areas of the two smallest oblongs for which this is possible?