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What is the area of the regular octagon shown below?
20.52
17
A. 1395 sq. units
B. 2791 sq. units
C. 2442 sq. units
D. 1221 sq. units

What is the area of the regular octagon shown below 2052 17 A 1395 sq units B 2791 sq units C 2442 sq units D 1221 sq units class=

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Answer:

C

Step-by-step explanation:

The area of the octagon is 1395 square units option (A) 1395 square units is correct.

What is a regular polygon?

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

We have:

Octagon showed in the picture:

The area of the octagon = 2(1 + √2)a²

a is the side length.

a = 17 units

The area of the octagon = 2(1 + √2)(17)²

The area of the octagon = 1395.4 ≈ 1395 square units

Thus, the area of the octagon is 1395 square units option (A) 1395 square units is correct.

Learn more about the regular polygon here:

brainly.com/question/11810316

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