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ISEE Middle Level
Quantitative Reasoning

Area Comparison of a Hexagon and a Square

Hard Quantitative Comparisons Geometry Comparisons

Consider two geometric shapes: a regular hexagon and a square. The regular hexagon has a side length of 6 units, while the square has a side length of 8 units.

To find the area of the regular hexagon, use the formula:

$$A_{ ext{hexagon}} = rac{3 oot{3}}{2}s^2$$

where $s$ is the length of a side.

To find the area of the square, use the formula:

$$A_{ ext{square}} = s^2$$

where $s$ is the length of a side.

Compare the areas of both shapes and determine which is greater.

Hint

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