Question

5. The perimeter of a regular polygon is 36.75 m.
If the length of each side is 5.25 m, how many
sides does the polygon have? If an equilateral
triangle had the same perimeter, what would be
the length of each side?​

Answer 1

Answer:

The polygon has 7 sides hence it is a heptagon.

The length of equilateral triangle is 12.25 m

Step-by-step explanation:

In a regular polygon all the sides are equal

Perimeter = 36.75 m

Side = 5.25 m

No of sides = 36.75/5.25

                   = 36.75 × 100/5.25 × 100

                   = 3675/525

                   = 7 sides

Therefore, it is heptagon.

Check ⇒

Perimeter of regular heptagon

Side = 5.25 m

Perimeter = 7 × 5.25

                 = 36.75 m

Hence, the answer is correct

In an equilateral triangle all the three sides are equal.

Perimeter  = 3 × S = 36.75

3S = 36.75

S = 36.75/3

S = 36.75 × 100/3 × 100

S = 3675/300

S = 12.25 m

Check ⇒

Perimeter of equilateral triangle = 3 × S

S = 12.25 m

3 × 12.25 = 36.75

36.75 = 36.75

Hence, the answer is correct.

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