Answer: The answer is x = 19.
Step-by-step explanation: Given that a flower pot has a base with six equal sides of measurement (x - 6) units. We are to find the value of the unknown quantity 'x' if the perimeter of the base is 78 units.
We know that the perimeter of a polygon is given by the sum of the lengths of all the sides of the polygon.
Since each side of the six-sided base is (x - 6) units, so its perimeter will be
\(6\times(x-6)~\textup{units}.\)
According to the question, we have
\(6(x-6)=78\\\\\Rightarrow x-6=13\\\\\Rightarrow x=19.\)
Thus, the value of 'x' is 19 units.
