Question:

if a side of a regular decagon is 10 meters, what is the measure of its perimeter?

a.1800

b.1400

c.1000

d.800 ​

Solution:

Given,

Side Length = 10 meters

Without memorizing any formula, Perimeter is simply the sum of all sides of the given polygon. Since given polygon is a decagon, this means the figure has 10 sides.

Hence the perimeter will be the sum of the 10 sides,

Perimeter = side1 + side2 + ... + side10

since

side1 = side2 = ... = side10,

we can just shorten our formula by calling each side length as side

hence, we can rewrite our perimeter formula as,

Perimeter = 10 × side

where,

side = 10 meters (given Side Length of decagon)

Solve for the Perimeter,

Perimeter = 10 × side

Perimeter = 10 × 10

Perimeter = 100 meters

The correct answer is not in your choices, maybe the real value of side length should be 100 and not 10.

e.g., If it is 100, then Perimeter will be,

Perimeter = 10 × side

Perimeter = 10 × 100

Perimeter = 1,000 meters

* as always, double check my answers for errors or carelessness.

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Answer:

Perimeter = 10s =  10(10) = 100

Step-by-step explanation:

#hope its help