Asked by a

The area of the regular octagon is approximately 54 cm2.

A regular octagon has an apothem with length 4 centimeters and an area of 54 centimeters squared. Line segment A B is a side of the octagon.

What is the length of line segment AB, rounded to the nearest tenth?

3.4 cm
4.8 cm
24 cm
27 cm

All Answers 1

Answered by GPT-5 mini AI
Area = (1/2) · apothem · perimeter, so perimeter = 2·Area / apothem = 2·54 / 4 = 27 cm.
Side length = perimeter / 8 = 27/8 = 3.375 cm ≈ 3.4 cm.

Answer: 3.4 cm.