Question

The area of the regular octagon is approximately 54 cm?

What is the length of line segment AB, rounded to the
nearest tenth?
3.4 cm
4.8 cm
24 cm
27 cm

Answer 1

A = 3.4 cm

Explanation:

The length of line segment AB is 3.4cm.

The area of octagon is given as 2a^2(1+sqrt{2})

Where a is the side of octagaon. All sides of octagon are same.

As, 2a^2(1+sqrt{2}) = 54cm

Then, a^2 = 54/2(1+sqrt{2})

a^2 = 54/4.828

a^2 = 11.19

a = 3.4 cm