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? a) 3.4 cm b) 4.8 cm c) 24 cm d) 27 cm

The length of line segment AB = 3.4 cm.

Step-by-step explanation:

Given:

The area of the regular octagon is approximately = 54 cm²

A regular octagon has an apothem with length =  4 cm

AB = side of the octagon

To Find:

AB = side of the octagon = ?

Solution:

A regular octagon has an Eight  equal Side

We Know that,

substituting the given values in equation we get

Now,

     Perimeter = 8 × Side

∴    Perimeter = 8 × AB

∴               27  = 8 × AB

∴    

After rounded to nearest 10th we get

AB =3.4 cm

The length of line segment AB = 3.4 cm.

ou would have 12 of each