## The Walled Garden

Divide the picture above into 5 segments so that each segment has 2 trees and an equal share of the lawn. Make sure you don’t cut the house up! (ignore the blue border-it’s not part of the problem)

*Answers to this challenge can be entered into the section below; submissions will automatically be revealed when time is up!*

Shawn| PUZZLE GRANDMASTER | Profile October 11th, 2010 - 2:57 pmPrinted out and measured, looks like if we set lines of house equal to “1” unit, then there are 16 units in the puzzle, so 15 units need to be divided into 5 segments, shouldn’t be a problem.

Draw lines to form a 4×4 grid

Number the squares from left to right by rows, so that square 1 is in the top left corner, square 13 is in the lower left corner, and square 16 is in the lower right corner. In this configuration, the house occupies square number 10.

The five segments contain the squares numbered:

1,5,6

2,3,4

7,8,11

9,13,14

12,15,16

suineg| PUZZLE MASTER | Profile October 11th, 2010 - 5:26 pmYou can imagine the space being and square of 8X8 cells, the house takes 4 cells so you have left 60 cells, you diviide 60 cells in 5 segments, you should have 5 segments of 12 cells with 2 trees in each segment, cool

http://smart-kit.com/wp-conten.....answer.jpg

Bobo The Bear| PUZZLE MASTER | Profile October 12th, 2010 - 11:16 amIf you overlay a 4×4 square grid, and number the squares 1 to 16 (with the house at 10), the five regions would be as follows:

Area 1 = Squares 1, 2, & 5

Area 2 = Squares 3, 4, & 8

Area 3 = Squares 6, 7, & 11

Area 4 = Squares 9, 13, & 14

Area 5 = Squares 12, 15, & 16

Although it wasn’t specified, this solution also has the feature that each area has the same shape as all the others (There are other solutions to the problem that do not share this feature).

trunicated| Profile October 12th, 2010 - 5:31 pmSplit the lawn up into a 4×4 Grid. The house isn’t part of the lawn, so we’re left with 15 sections that are described below:

00 01 02 03

04 05 06 07

08 09 10 11

12 13 14 15

01, 02, 04, 05, 07, 08, 10, and 12 all have one tree.

14 has two trees.

00, 03, 06, 11, and 15 all have no trees.

09 is the house.

If we bunch the non-house squares in the following manner, we can solve this puzzle:

00, 04, 05

01, 02, 03

06, 07, 10

14, 15, 11

08, 12, 13

Or, using the original grid:

1 2 2 2

1 1 3 3

4 H 3 5

4 4 5 5

Draw lines where appropriate. I don’t really want to bust out my MS Paint skills :-)

Mashplum| PUZZLE MASTER | Profile October 13th, 2010 - 7:21 amhttp://i749.photobucket.com/al.....tled-1.gif

RK| Founder | Profile October 13th, 2010 - 9:14 pmInteresting, I think Shawn, Trunicated, and Mashplum’s solutions share the same configuration (see Mashplum’s picture).

The official answer I had is the solution Bobo came to, here is the picture:

http://smart-kit.com/wp-conten....._house.jpg

Suineg’s answer seems valid too

suineg| PUZZLE MASTER | Profile October 13th, 2010 - 10:03 pmCool, my answer is very similar but I think was overcomplicated prefer the one that take the house as the unit of measure, cool.