The area of the regular hexagon is 169.74 ft2. A regular hexagon has an apothem with length 7 feet and an area of 169.74 feet squared. What is the perimeter, rounded to the nearest tenth?

Answer: 48.5 ft

Step-by-step explanation:

I took the test

The perimeter of the hexagon is 48.5 feet

Step-by-step 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