Answer: FIRST OPTION.
Step-by-step explanation:
Regular polygons are those polygons whose sides are equal in length and whose angles are all equal.
By definition each interior angle of a Regular polygon,is:
(In degrees)
Where "n" is the number of sides of the polygon.
Observe the Regular polygon given in the exercise.
Since it has 6 sides, you can conclude that it is an Hexagon. Then:
Substituting into and evaluating, you get:
Knowing this, you can write the following equation:
Finally, you must solve for "x" in order to find its value. This is:
Sorry in French is pardon
Let the width be x, then the length is 2x
2(x + 4 + 2x + 4) = 46
(3x + 8) = 46/2 = 23
3x = 23 - 8 = 15
x = 15/3 = 5 ft
Therefore, width is 5 feet and length is 2(5) = 10 feet