Question

A regular heptagon has an apothem of approximately 4.2 ft and a perimeter of approximately 28.0 ft.

Find the area of the heptagon.

Answer 1

Explanation:

If perimeter is 28 then each side is 28/7=4ft These sides can be seen as the bases of seven triangles that make up the heptagon. The apothem, 4.2ft, is the height of each of those triangles. The total area will be the sum of the areas of those seven triangles.

A=7(bh)/2

A=(7(4)4.2)/2

A=58.8 ft^2