What is the area of a regular octagon with a side length of 5.8 centimeters and an apothem length of 7 centimeters?

A. 324.8cm

B. 162.4cm

C. 40.6cm

D. 20.3cm

Let's start with what we know:

Area of regular octagon = 1/2 x perimeter x apothem

We know the apothem, so all that we need to find to fill in the above equation is the perimeter:

perimeter = 8 * 5.8 = 46.4cm

Now we can fill in our original equation and solve:

Area of regular octagon = 1/2 x perimeter x apothem

Area = 1/2 x 46.4cm x 7cm = 162.4cm^2

The answer is B. 162.4cm^2