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ISEE Middle Level
Quantitative Reasoning

Comparing the Area of a Hexagon and a Square

Medium Quantitative Comparisons Geometry Comparisons

Consider a regular hexagon where each side measures 4 units. The area of a regular hexagon can be calculated using the formula:

$$A = \frac{3\sqrt{3}}{2} s^2$$

where $s$ is the length of a side. Now, compare this to the area of a square with a side length of 5 units. The area of a square is calculated using the formula:

$$A = s^2$$

Determine the relationship between the area of the hexagon and the area of the square.

Hint

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