The first thing is why the answer is not just All the red squares in the above picture would count as valid squares, so we are asking how many squares of any dimension from 1x1 to 8x8 there are on a chess board.
The key is to think how many positions there are that each size of square can be located A 2x2 square, for example, can, by virtue of it's size, be located in 7 locations horizontally and 7 locations vertically. For those who are interested enough to find out the answer, here it is.
And by the way, this question in aligned with MOE syllabus standards. Now let us examine the scenario where there is only 1 square.
Just 1 square. If there is only 1 square, no matter how you look at it, there is only 1 square. How many squares are there here? Is your answer 4? If you observe carefully, there are actually 5 squares in total. Whenever you are ready to check your result, scroll down for the solution. But no peeking! Let's talk about the solution. Keep in mind, that what you are looking for are only complete squares and that it does not count if it doesn't look like one.
Really take your time with this brainteaser - there might be more squares in this picture than you think. Maybe you have missed one? Let's start with the basics and define what a square is exactly: In math, a square is defined as a shape with four sides of the same length. The angles between those sides must be 90 degrees. So how many squares are in the picture? Stack Overflow for Teams — Collaborate and share knowledge with a private group.
Create a free Team What is Teams? Learn more. How many squares are in this image? Is there a method to check? Ask Question. Asked 5 years, 9 months ago. Active 5 years, 5 months ago. Viewed 97k times. Is there a method to check exactly? Hagen von Eitzen k 28 28 gold badges silver badges bronze badges. EdwardD EdwardD 33 1 1 gold badge 1 1 silver badge 3 3 bronze badges.
Et cetera. I count eight 1x1 squares, four 2x2 squares, four 3x3 squares, and one 4x4 square. That makes
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