# geometry

posted by .

A regular heptagon has an apothem of approximately 6.5 ft and a perimeter of approximately 44.1 ft . Based on these measurements, what is the area of the heptagon?

• geometry -

if the perimeter of the heptagon (7 sides) is appr 44.1 ,then each side is appr 6.3

look at one of the 7 equal isosceles triangles that can be formed
area of one of those = (1/2)(6.3)(6.5) = 20.475
so the area of the heptagon is 7(20.475) = 143.325
or
appr 143.3

## Similar Questions

1. ### Math--Area

Find the area of each regular polygon to the nearest tenth. Octagon with side length of 10 kilometers. Heres what I tried; but I don't know if im on the right track. Area=1/2 * Perimeter* Apothem Perimeter=base of octagon* number of …
2. ### Maths

Hi, I need to calculate the size of one of the interior angles of a regular heptagon (i.e. a regular 7-sided polygon). Any help appreciated
3. ### geometry/help

Find the area of a regular heptagon with the side 7 cm. answer 178.1 cmÂ² can you check
4. ### geometry heptagon

how many segments does a 7 sides figure have joining the midpoints of the sides?
5. ### Algebra

The perimeter of a heptagon is 9a^2s ft. The perimeter of a triangle is 6a^6b^2s ft. Find the ratio of the perimeter of the heptagon to the perimeter of the triangle.
6. ### Th

the area of a regular polygon varies jointly as its apothem and its perimeter. express the area in terms pf apothem a and the perimeter p
7. ### Geometry help

Find the perimeter, apothem, and area of a regular triangle with a radius of 6sqrt3. How do I do this?
8. ### Geometry check

Find the perimeter and are of a regular truangle with an apothem of 9 ft. Is the perimeter 54 ft & the area 243 ft?
9. ### Polygon

Find to the nearest degree, the size of each angle of regular heptagon
10. ### geometry

find the perimeter of a regular octagon with an area of 80 m and an apothem of 5m

More Similar Questions