Concept explainers
Can you cover this checkerboard with dominoes, where each domino covers two adjacent squares in the same row or column? Explain.
Answer to Problem 8PSP
We cannot cover the checkerboard with required dominoes.
Explanation of Solution
Given:
A standard checkerboard has 32 red squares and 32 black squares. Shown below is a checkerboard with two black squares removed from its upper left and lower right corner.
Calculation:
We will make pairs of two adjacent squares as shown below:
We can see that after making 27 such pairs, we are left with one red square.
When we will continue from next column, we will again have one square left.
Therefore, we cannot cover the checkerboard with required dominoes.
Chapter 8 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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