11. Shaina is creating a custom glass table that has a top in the shape of a regular octagon. She wants

to find the area of the octagon to determine the amount of glass needed. The top of the table has an

apothem that measures 1.2 meters and each side of the octagon measures 1 meter. A diagram of the

tabletop is shown below.

Custom Glass Tabletop

Which of the following is closest to the area, in square meters, of the octagon?

A. 0.6 m2

B. 4.8 m2

C. 8.0 m2

D. 9.6 m2

Answer: option B is correct

Step-by-step explanation:

The custom glass table that has a top in the shape of a regular octagon ... It has eight sides, since it is a regular octagon, all the eight sides are equal.

The formula for determining the area of a regular polygon is expressed as

Area = pa/2

Where

P represents the perimeter of the polygon.

a represents the apotherm of the polygon. The apotherm is the perpendicular distance from the center of one side of the polygon to the center of the polygon.

From the information given, the apotherm = 1.2m

Perimeter = 8 * 1 = 8

Area of polygon = (8 * 1.2) / 2

= 4.8m²

B

Formula Area=.5xaxp

.5x1.2x8

You get the 8 by multiplying 8 sides by the size of each side remember a octagon has 8 sides of 8 sides by 1 meter = 8