Question

Using x as the variable, write a formula to find the perimeter of the figure. Use the formula to find the perimeter. a regular dodecagon (12-gon); one side is 9.25 cm a. 12/x; 1.29 cm c. 12x; 111 cm b. 12 - x; 2.75 d. 12 + x; 21.25 cm

Answer 1

Answer:

c. 12x; 111 cm

Step-by-step explanation:

The regular dodecagon has 12 sides. Each side has a length of x=9.25 cm, and we know that the perimeter of the figure is the sum of the lengths of all the sides: Therefore, since we have 12 sides, the perimeter will be given by the product between the length of each side, x, and the number of sides, 12:

$p=12 \cdot x$

and if we substitute x = 9.25 cm, we find

$p=12 \cdot 9.25 cm=111 cm$