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A village pond is mapped on a grid where each square is 1 sq m.
The survey records: 54 full squares, 26 more-than-half squares, 20 less-than-half squares.
A second, more careful survey instead treats every partly covered square as exactly (there are 26 + 20 = 46 partly covered squares in all).
How many more square metres does the first method give than the second method?

Class 6Area on GridsMensuration
  • A3 sq m
  • B7 sq m
  • C23 sq m
  • D0 sq m

Step-by-Step Solution

First method: 54 + 26 + 0 = 80 sq m (more-than-half counts 1, less-than-half counts 0). Second method: sq m. Difference = 80 - 77 = 3 sq m.
Answer: A) 3 sq m

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