9514 1404 393
Answer:
(A) yes; each small square could represent 10 units
(B) no; there are a total of 14 small squares. No reasonable relationship maps this to 410
Step-by-step explanation:
(A) The total number of small squares is 14, so we expect any number represented by the diagram to be a multiple of 14. If each small square represents 10 units, then the 4 small squares represent 40 units, and the rectangle represents 100 units, for a total of 140 units being represented in the diagram. Andre is correct.
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(B) The above argument suggests that 410 will not be reasonably represented by the diagram. To represent 410, we expect 4 tokens that each represent 10 of a smaller token. The rectangle of 10 squares would be such a token, but the diagram has only one of those, not 4 of them. Similarly, we expect 1 of a smaller token, but the diagram has 4 of them. In any event, 410 is not a multiple of 14, so there is no (integer) value that can be assigned to a small square that lets the diagram represent 410.
I do not agree with Diego.
