Question

In the hexagon below, adjacent segments are perpendicular, and 4 segments are 4 feet long, as marked. What is the perimeter of this hexagon, in feet?

Question 1 options:

28


16


20


24


32

Answer 1

32. the length of the 2 unmarked sides are 8 ft and 8 ft. add 8+8=16. then add the marked sides 4+4+4+4= 16. add 16+16 and get 32

Answer 2

The perimeter of the hexagon with each side measuring 4 feet is 24 feet.

Step-by-step explanation:

To find the perimeter of the hexagon, we need to determine the length of each of its sides and then sum them up. Since adjacent segments are perpendicular and four segments are known to be 4 feet long, the remaining two sides must also be 4 feet each, because of the perpendicular angles forming squares. Therefore, the perimeter of the hexagon, which is the sum of all its side lengths, is calculated by adding six sides of 4 feet each.

Perimeter = 4 feet + 4 feet + 4 feet + 4 feet + 4 feet + 4 feet = 24 feet.