MATH

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! :)

  1. 👍
  2. 👎
  3. 👁
  1. 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.

    1. 👍
    2. 👎
  2. 104

    1. 👍
    2. 👎
  3. The Grid looks like this:

    4 6 6 4
    6 10 10 6
    6 10 10 6
    4 6 6 4

    1. 👍
    2. 👎
  4. what about ten by ten

    1. 👍
    2. 👎
  5. 5368

    1. 👍
    2. 👎
  6. thanks HI

    1. 👍
    2. 👎
  7. afdfaf

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Maths

    How many squares in the plane have two or more vertices on dots in this 2x3 grid? All dots are an equal distance from their nearest neighbours. *diagonal squares count* -------------------------------------- I can only get 18, but

  2. Math (please help)

    In a blueprint, each square has a side length of ¼ inch. 1 in. : 6 ft Bathroom - 6 squares Bedroom - 20 squares Living Room - 28 squares a. Ceramic tile costs $5 per square foot. How much would it cost to tile the bathroom? $ b.

  3. Math

    Write the ratio of the number of squares to the number of circles as shown below. (Pretend I have four circles and five squares. The # will represent circles and the @ sign will represent squares.) #### @@@@@ (A)4 to 9 (B)5:4 (C)4

  4. math

    Which of the following is a true statement? A. All squares are rectangles. B. All rectangles are squares. C. All rhombuses are squares

  1. Algebra

    A group of students is arranging squares into layers to create a project. The first layer has 6 squares. The second layer has 12 squares. Which formula represents an arithmetic explicit formula to determine the number of squares

  2. math

    two squares have sides p cm and (p+5) cms. the sum of theirs squares is 625 sq.cm. the sides of the squares are

  3. math

    Mark wants to use a grid to model the percent equivalent of the fraction 2/3. how many grid squares should he shade? what percent would his model show?

  4. mathematics

    Which statement is true? is my answer Correct? Only some squares are rectangles. Rectangles have 4 sides that are the same length. Therefore, only some squares have 4 sides that are the same length.** All squares are rectangles.

  1. Math

    Demetria is tiling a square area of her bathroom floor. For every 13 white tiles used, she wants to use 12 gray tiles. Draw a grid , 5 squares by 5 squares, then shade the tiles to show a pattern that would match the ratio of

  2. Math

    Erica knits 18 squares on Monday. She knits 7 more squares each day for the rest of the week. How many squares does Erica have on Friday?

  3. math

    Area A sequence of smaller squares is formed by connecting the midpoints of the sides of a larger square. (a) If the area of the largest square is 1 square unit, determine the first five terms of a sequence that describes the area

  4. mathematics

    Which statement is true? Only some squares are rectangles. Rectangles have 4 sides that are the same length. Therefore, only some squares have 4 sides that are the same length. All squares are rectangles. Rectangles have 4 sides

You can view more similar questions or ask a new question.