A farmer has a rectangular patch of land for harvesting corn, measuring 60 feet by 80 feet. He wants to put a scarecrow right in the exact center of the field. How many feet is the scarecrow from any of the four corners of the field?
50 feet
The center of a 60x80 rectangle is 30 feet from the shorter sides and 40 feet from the longer sides. Using the Pythagorean theorem for the distance from the center to a corner: square root of (30 squared + 40 squared) = square root of (900 + 1600) = square root of 2500 = 50 feet.
About this riddle
Logic riddles give you a few facts and ask what must be true. List what you know, cross out what cannot be, and see what is left.
Difficulty: Medium. More like this: Logic riddles with answers or try Einstein's Logic Grid for a different kind of puzzle.
More logic riddles
You meet two islanders, Liam and Maya. On this island, people are either Truth-tellers who only speak truth, or Liars who only tell lies. Liam says, 'At least one of us is a liar.' What are Liam and Maya?
A gardener has 10 trees and wants to plant them in 5 straight lines with exactly 4 trees in each line. How can the gardener arrange the trees?
What occurs once in every minute, twice in every moment, but never in a thousand years?
I have four coins in my pocket that total 31 cents. None of them are pennies, yet I cannot make change for a quarter using any combination of them. What are the four coins?
Four knights participate in a jousting tournament resulting in distinct ranks from 1st to 4th. Sir Kay did not finish last. Sir Lancelot finished immediately ahead of Sir Gawain. Sir Bors finished 2nd. Who finished in 1st place?
A detective looks at a crime scene in a sealed room with no windows. On the floor lies a puddle of water and a broken piece of carrot. No one broke in, yet the cause of the death is completely natural. What happened?