PuzzlersWorld.com

  • Hacker Puzzle
  • Interview Puzzles
  • Number Puzzles
  • Maths Puzzles

Rectangular cake puzzle

(6 votes, average: 3.33 out of 5)

April 18, 2013 by puzzler 2 Comments

 

rectangle cake

rectangle cake

Given a rectangular cake with a rectangular piece removed(of any size and orientation) how can you cut the rectangle in two equal parts with one straight line cut of a knife.
Note:- The cut is of any size and any orientation, it means the removed piece can be one of the layer of the cake.


See Rectangular cake puzzle SolutionHide Solution

Rectangular cake puzzle solution

You can cut the cake by the line joining the center of the original cake and the center of the removed piece, this will divide the rectangle in exactly two pieces.
How?
We can use the fact that “any line passing through the center of a rectangle divides the rectangle in two equal pieces.”

rectangular cake puzzle solution

rectangular cake puzzle solution

Thus in above image:- x1 should be equal to x2 and y1 should be equal to y2.
Area of the top part = x1 – y1
Area of the bottom part = x2 – y2
But as x1 = x1 and y1 = y2=> Area of the top part should be equal to Area of the bottom part

  • Share on Whatsapp
  • Share on Facebook
  • Share on Twitter
Facebook Comments
Facebook
Next Puzzle
10 prisoners and hats puzzle

Checkout more Logical Puzzles Tags: Interesting Puzzles, Interview, medium, Puzzle, Solved Puzzles

Comments

  1. gokul says

    April 24, 2014 at 1:34 pm

    just cut the cake, but no horiz or vert cut the cake from 1 angle to 2nd angle, cut in this way (/)

    Reply
    • puzzlersworld says

      April 24, 2014 at 1:48 pm

      See the solution given

      Reply

Leave a Comment Cancel reply

Submit your Puzzle

You may also like

  • Who is the thief puzzle
  • Philip says truth only one day
  • A lady, Book and a counter man
  • Spinning Disc Direction Puzzle
  • Logical Puzzle – At what time train leaves?
  • 3 bulbs and 3 switches
  • Girl and the box
  • Who owns the Fish ?
  • If you Overtake second person in the race
  • 2 Dice and money game

Categories

  • Aive hi Puzzles
  • Akbar and Birbal
  • Alphabetical Puzzles
  • Bollywood Puzzles
  • Google Code jam
  • Hindi Riddles
  • Interview Puzzles
  • Interview Questions
  • Logical Puzzles
  • Malayalam Puzzles
  • Maths Puzzles
  • Miscellaneous
  • Number Puzzles
  • Picture Puzzles
  • Riddles
  • Tamil Puzzles
  • Technical

Social

  • View puzzlersworld’s profile on Twitter
privacy policy

Copyright © 2025 · eleven40 Pro Theme on Genesis Framework · WordPress · Log in

  • Hacker Puzzle
  • Logo Puzzles
  • Optical Illusions
  • WhatsApp Puzzles
  • Picture Puzzles
  • Riddles
    ▼
    • Hindi Riddles
  • Bollywood Puzzles
  • Alphabetical Puzzles
  • Aive hi Puzzles
  • Interview Puzzles
  • Logical Puzzles
  • Interview Questions
    ▼
    • Data Structures
    • Binary Tree
    • Algorithms
    • Recursion Questions
    • Amazon Interview Questions
    • Snapdeal Interview Questions
    • Google Code jam
  • Technical
  • Akbar and Birbal
  • Number Puzzles
  • Maths Puzzles
  • Miscellaneous