A four by four grid of unit squares contains squares of various sizes (1 by 1 through 4 by 4), each of which are formed entirely from squares in the grid. In each of the 16 unit squares, write the number of squares that contain it. For instance, the middle numbers in the top row are 6s because they are each contained in one 1*1 square, two 2*2, two 3*3, and of course the one 4*4.

What is the sum of all sixteen numbers written in this grid?

How about a ten by ten grid?

I really hope to see the answer. Thanks! :)

11 answers

What did you get?
You would be well to do the 4x4.
If you have difficulties, start with a 1 by 1, then 2 by 2 and then 3 by 3 grid. You will find a pattern that you can use later.
Once done, do an n × n grid and check if the answer for n × n works for n=4.
104
The Grid looks like this:

4 6 6 4
6 10 10 6
6 10 10 6
4 6 6 4
what about ten by ten
5368
thanks HI
afdfaf
Can someone say pls
4x4: 108
10x10: 5440
I'm confused, what is the 10x10 answer???
The 10x10 answer is 5368
Similar Questions
    1. answers icon 1 answer
  1. Use the model below and partial products to find .1.3 x1.6The top left hundredths grid is whole, and the grid to the right of it
    1. answers icon 1 answer
  2. Which diagram represents a fraction equivalent to 40%?A grid model with 25 squares. 10 squares are shaded. A grid model with 25
    1. answers icon 1 answer
  3. Use the model below and partial products to find .The top left hundredths grid is whole, and the grid to the right of it has 30
    1. answers icon 1 answer
more similar questions