Explore BrainMass
Share

Explore BrainMass

    Square determination

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    A checkered flag used for racing is a square flag containing 64 alternating white and black squares. How many squares on the checkered flag contain an equal number of white and black squares? Be sure to describe how you arrived at your answer.

    © BrainMass Inc. brainmass.com October 10, 2019, 1:40 am ad1c9bdddf
    https://brainmass.com/math/geometric-shapes/64-alternating-white-and-black-squares-square-determination-344431

    Solution Preview

    OK, here's the flag: http://en.wikipedia.org/wiki/File:Auto_Racing_Chequered.svg Unfortunately, this one is only 6 by 8, but we can pretend that we have a flag which is an 8 by 8 square.

    If a square in this flag contains an equal number of white and black squares, its side must be an even number (otherwise, it contains an odd number of squares). So, we should count all squares of sizes 2x2, 4x4, 6x6 and 8x8.

    There's only ...

    Solution Summary

    Square determination is established. 64 alternative which and black squares are examined.

    $2.19