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
Answer:
293.72 square units
Step-by-step 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!
