Question 1117862
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The given information is self-contradictory.  If the hexagon is regular with sides of length 9.5cm, then the distance across the box is not 17cm; it is 9.5*sqrt(3) cm, or about 16.45cm.<br>
Given the difference between those two measurements, it will not be possible to calculate the area of the base correct to 2 decimal places using the given value of 17cm.<br>
In fact the area of a regular hexagon with side length s (calculated as the area of 6 equilateral triangles with side length s) is<br>
{{{6*((s^2*sqrt(3))/4)}}}<br>
For a side length of 9.5cm, the area is, to 2 decimal places, 234.48 cm^2.