Problem 10 · 2021 Math Kangaroo
Easy
Geometry & Measurement
area-fraction
There is a square with line segments drawn inside it. The line segments are drawn either from the vertices or the midpoints of other line segments. We coloured \(\frac{1}{8}\) of the large square. Which one is our coloring?
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Answer: D
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Hint 1 of 2
Compare each shaded region's area to the whole square; you want exactly one eighth.
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Hint 2 of 2
Use the vertex/midpoint lines to size each shaded piece as a fraction of the big square.
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Approach: measure each shaded area as a fraction of the square
- The internal lines join vertices and midpoints, so each shaded piece is a simple fraction of the large square.
- Sizing them, only the region in choice D is exactly 1/8 of the square.
Mark:
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