Brain Teasers and Logic Puzzles

Math and Arithmetic

Geometry

# How many squares are there in a 4 by 4 grid?

## Answer

###### Wiki User

###### 02/14/2011

*There are 30 squares in a 4 by 4 grid. Here's how it breaks
down.*

*There are 16 of the 1 x 1 squares.*

*There are 9 of the 2 x 2 squares.*

*There are 4 of the 3 x 3 squares.*

*There is 1 of the 4 x 4 squares.*

*It's fairly easy to see the individual 1 x 1 squares and
count them. Same with the 4 x 4 square, as it's the perimeter of
the whole array. With the 2 x 2 squares, start with a 2 x 2 square
in, say, the upper left corner and "move" the square one space to
the right. Then one more to "complete" the top row. Then move it
one square "down" and continue until arriving at the place you
started. There will be 9 different "positions" for the 2 x 2
square.*

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