[CV127] Perimeter Perplexer

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

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.

A big thanks to http://professorlaytonwalkthrough.blogspot.com

v · d · ePuzzles in Professor Layton and the Curious Village

Normal	001 002 003 004 005 UK 006 007 008 009 010 UK 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 UK 046 UK 047 048 049 050 UK 051 052 053 054 055 056 057 058 059 060 061 062 UK 063 064 065 066 UK 067 UK 068 069 070 071 072 UK 073 074 075 076 UK 077 078 079 080 081 082 083 084 085 UK 086 087 088 UK 089 090 091 092 093 094 095 096 UK 097 098 099 100 101 102 103 104 105 106 107 108 109 110 111 UK 112 113 UK 114 115 116 117 118 119 120 121 122 123 124 UK 125 126 127 128 129 130 131 132 133 134 135

Weekly	See here for weekly puzzles

Puzzle Index: CV · DB · UF · LS · MM · AL · VS

FANDOM

Puzzle

Hints

Solution

Incorrect

Correct