Question

a regular octagon with sides of length 7 and an apothem of length 10.49 has an area of _____ square units​

Answer 1

293.72 square units

Explanation:

The formula to calculate the area of a regular octagon is:

A = (1/2)(apothem)(length of side)(number of sides)

A= (1/2)(7)(10.49)(8)

A=293.72 square units

Hope this helps!

Answer 2

Answer: 293.72

Step-by-step explanation: Since the apothem is length 10.49, and half the side-length is 3.5, the octagon can be divided into 16 right triangles, each with base b = 3.5 and height h = 10.49.

The area of each triangle is (1/2)bh. Since there are 16 of them, the total area A of the octagon is:

A = (16)(1/2)bh

= 8bh

= (8)(3.5)(10.49)

= 293.72