Answer:
44.4 feet
Explanation:
The equation to finding the area of a regular polygon is:
[tex]Area = \frac{1}{2}ap[/tex]
The 'a' is the apothem and the 'p' is the perimeter. Since the question contains the apothem and a side (which can be multiplied by how many sides there are) to make a perimeter.
A hexagon has 6 sides, and each side is 4 ft. 6 times 4 yields 24 ft. The apothem is 3.7 ft. Substitute them into the equation above:
[tex]Area = \frac{1}{2}(3.7)(24)[/tex]
It would be easier to multiply the 3.7 and 24 before halving, so that will give you: 88.8. Then by halving, you will get 44.4.
The area of the roof is 44.4 feet.
