[CV127] Perimeter Perplexer

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127 - Perimeter Perplexer

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Perimeter Perplexer
Game	Professor Layton and the Curious Village
Number	127
Type	Write Answer
Location	Layton's Challenges
Solved by	Luke
Picarats	70
Mandatory	No
Reward	None
In other languages
日本語	外周はいくつ？ gaishū wa ikutsu?
Deutsch	Rätselhafter Umfang
Español	Perímetro perplejo
Français	Périmètre en mètres
Italiano	Dubbio perimetrale
한국의	둘레는는 몇 미터?

Perimeter Perplexer is a puzzle in Professor Layton and the Curious Village.

Puzzle

All you know about the plot of land below is what's written here, but even these few measurements offer you enough information to accurately calculate the plot's perimeter.

In feet, what is the length of the perimeter?

Be careful when considering your answer. The diagram may not be proportionally accurate.

Hints

• →
• Hint 1
• Hint 2
• Hint 3

Click a Tab to reveal the Hint.

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.

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.

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...

Solution

Incorrect

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.

Correct

Excellent!

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.