Answer:
The perimeter of the hexagon is 48.5 feet
Explanation:
In this question, we are asked to calculate the perimeter of a regular hexagon, given the length of its apothem and its area value
Recall;
Mathematically the area of a regular hexagon A = 1/2 * P * a
where P is the perimeter of the hexagon which is unknown according to the question, a is the apothem of the hexagon which is 7 feet and A is the area which is 169.74 sq.feet according to the question
Plugging these values into the equation, we have;
169.74 = 0.5 * 7 * P
P = 169.74/3.5
P = 48.50 ft