Problem 1 · 2012 Math Kangaroo
Easy
Geometry & Measurement
areagridspatial-reasoning
Which of the shapes to the right has the largest area?
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Answer: E — All shapes have the same area.
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Hint 1 of 2
Use the grid lines to break each shape into triangles or half-squares.
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Hint 2 of 2
Count the unit area each shape covers — compare, don't eyeball.
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Approach: decompose each shape on the grid and count its area
- Each shape sits in the same small grid block, so use the grid to find its area exactly.
- Split every shape into right triangles and squares that match the grid lines, then add up the pieces.
- Doing this for all five shapes gives the same area each time.
- So the answer is E: all the shapes have equal area.
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