Puzzle:Plaza Puzzle

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Plaza Puzzle

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Plaza Puzzle
Game	Professor Layton and the Diabolical Box
Number	060
Type	Write Answer
Location	Folsense Station
Solved by	Professor Layton
Picarats	25
Mandatory	No
Reward	None

Plaza Puzzle is a puzzle in Professor Layton and the Diabolical Box.

Puzzle

"So there's a big, old statue in the middle of this plaza. When you take away the area occupied by the statue, the plaza looks kinda doghnutlike in shape. What you gotta do is divide this doughnut plaza into two identically shaped parts using only one line.

"Oh, and before you get any big ideas, the dotted lines shown below won't cut it 'cause they're actually two lines."

Draw your answer on the Touch Screen.

Hints

• →
• Hint 1
• Hint 2
• Hint 3

Click a Tab to reveal the Hint.

In the example illustration, the plaza has been divided by two lines, which makes the answer invalid.
The fact that you need to use a single line to answer the problem is key. Since you can use only one line, you know you won't be solving this one by drawing lines through the middle of the plaza, right?

Even if you avoid drawing your line through the center of the plaza, no single straight linen will divide the plaza into two pieces that are the same shape.
By the way, did you notice the goal here isn't to make two pieces that are the same size but merely the same shape? Keep that in mind.

If you're still having trouble, you should know that the single line you need to draw is a circle.
The only remaining question is where to place it so that the two pieces of the plaza have the same shape and are directly proportional to one another.

Solution

Correct

Nice!

If you draw a circle around the plaza about one-third of the way out from the middle, your line will divide the doughnut into two identically shaped figures that are directly proportional. In geometrical terms, shapes like these are known as similar figures.