CV127 - Perimeter Perplexer

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Perimeter Perplexer
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Perimeter Perplexer
Puzzle Number 127
Puzzle Name Perimeter Perplexer
Picarats Given 70 Picarats
Type Write Answer
Location Layton's Challenges
Previous Puzzle CV126 - Red and Blue 2
Next Puzzle CV128 - Number Lock

This is the one hundred and twenty-seventh puzzle that appears in Professor Layton and the Curious Village. This puzzle can be accessed through Professor Layton's Challenges. In order to solve this puzzle, you must use the measurements given to determine the perimeter of the plot of land.


[edit] Hints

Hint One
    First, don't be thrown off by the shape of the plot's right side. The total length of the right side is five feet.

    Now focus your attention on that three-foot measurement. It plays a pivotal role in helping you solve the puzzle.

Hint Two
    Try drawing a line straight down from the upper-right corner of the plot. This will divide the area marked three feet into two sections.

    The two parts you just created with your line may not be labeled, but you might be able to find equivalent lengths somewhere else on the perimeter of the shape.

Hint Three
    If you look around the shape, you can find two other lengths equal to both parts of the three-foot edge you divided with your line in Hint Two.

    If those two parts total three feet and you know there are two more segments identical to those two, then the total of all the edges with unknown lengths should be...

[edit] Messages

[edit] When Failed

Too bad.

You can find the lengths of the unlabeled sides by looking at the sides with known lengths.

Also, have you noticed that every corner of the plot is a right angle? This is key.

[edit] When Completed


If you draw a line like the dotted yellow one shown above, you can see that the right side is five feet. Therefore, red lines X, Y, and Z must add up to a length of five feet.

Next, you have two horizontal segments to deal with, A and B. Since A plus B equals three feet, and you have two sets of A and B, you have a total of six feet. Add everything up and you have a perimeter of 26 feet.

[edit] Solution


The perimeter of the land is 26 feet.

[edit] Progress

4645 Picarats and 200 Hint Coins.

Last edited by Squiggle on 6 January 2016 at 20:17
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