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2022 Math Kangaroo

Problem 12

Problem 12 · 2022 Math Kangaroo Stretch
Geometry & Measurement areagrid-counting

Below you see five pieces of lawn, each drawn on the same dotted grid. Which one has the smallest area of grass?

Figure for Math Kangaroo 2022 Problem 12
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Answer: A
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Hint 1 of 2
Every lawn is drawn on the same dots, so each little square of the grid is the same size.
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Hint 2 of 2
Count how many little grid squares of green each lawn covers, then pick the one that covers the fewest.
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Approach: count the grid squares of green in each lawn
  1. Because all five lawns sit on the same dotted grid, you can compare them just by counting little squares of green.
  2. Count the grid squares each green shape covers (count two half-squares as one whole).
  3. Lawn A covers the fewest green squares, so it has the smallest area; the answer is A.
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