Asked by Louisa
What is the area of a regular pentagon with a side length of 9.4 feet and an apothem length of 6.5 feet?
Answers
Answered by
denise
asume 11 and 12 are parallel 5 is 83 what is the measure of 7
Answered by
Steve
no sides of a regular pentagon are parallel
5 is not 83
7 is 7
What planet are you calling from?
Divide the pentagon into 5 congruent triangles with base angles of 54°
If s = side length,
the triangles have base = s
then the apothem is h = s/2 tan 54°
The area of the pentagon is 5 * s/2 * s/2 tan 54° = 5s^2*tan54°/4
Note that this is just area = 1/2 * perimeter * apothem
Note: 6.5/4.7 = 1.383 but tan54° = 1.376 so the above dimensions do not fit a regular pentagon.
Ignoring that, however, and using their figures,
a = 5*9.4/2 * 6.5 = 152.75
5 is not 83
7 is 7
What planet are you calling from?
Divide the pentagon into 5 congruent triangles with base angles of 54°
If s = side length,
the triangles have base = s
then the apothem is h = s/2 tan 54°
The area of the pentagon is 5 * s/2 * s/2 tan 54° = 5s^2*tan54°/4
Note that this is just area = 1/2 * perimeter * apothem
Note: 6.5/4.7 = 1.383 but tan54° = 1.376 so the above dimensions do not fit a regular pentagon.
Ignoring that, however, and using their figures,
a = 5*9.4/2 * 6.5 = 152.75
Answered by
Kiara
Erica is playing with some regular pentagon tiles and discovers she can made a five pointed star:Explain how she can use angle measures of the pentagons to fink the angle measure of the point of the star
There are no AI answers yet. The ability to request AI answers is coming soon!