Question

What is the area of the regular heptagon shown below? (Round your answer

to the nearest whole number.)
231
22.15
A. 3566 sq. units
B. 1528 sq. units
C. 1783 sq. units
D. 3057 sq. units
y’all help please

Answer 1

C

Explanation:

A heptagon is a polygon with 7 triangles. (a)

Thus, The area (A) will be = 7a

`The \ area \ of \ \ triangle \ = (1/2) * b * h`

where;

b = base

h = height

So;

`7a = (1)/(2)(bh)`

where;

b = 22.15 unit and h = 23 unit

∴

`A = (7 * b * h)/(2) \\ \\ A = (7 * 22.15 * 23)/(2) \\ \\ A = 1783.07 \ sq. units \\ \\ A \simeq 1783 \ sq. units \\ \\`