Question

3. A regular pentagon has an apothem of 3.2 m and an area of 37.2 m². What is the length of one side of the pentagon?
3.96 m
4.65 m
11.875 m
23.75 m

Answer 1

Use the formula A = .5(apothem)(perimeter)

Answer 2

Ok but first, what in the he!! is an apothem

Answer 3

I dont have a perimeter just an apothem

Answer 4

37.2m2= .5(3.2)(x)

Answer 5

@bandicoot12

Answer 6

sorry about that

Answer 7

An apothem is kind of like the radius of a shape

Answer 8

http://www.cliffsnotes.com/study_guide/Regular-Polygons.topicArticleId-18851,articleId-18805.html

Answer 9

http://www.regentsprep.org/Regents/math/ALGEBRA/AS1/RefARea.htm

Answer 10

ok well now that its set up what do i do?

Answer 11

A = 0.5 * Apothem * Perimeter
As you said earlier...
37.2m^2= .5(3.2)(x)

Solving for x will give you the perimeter not the side length so divide the perimeter by 5 (because it is a regular pentagon) and you will have your answer

Answer 12

so the peremiter is 1.6

Answer 13

How did you get 1.6?

Answer 14

Here is some info on apothems :) http://www.mathopenref.com/apothem.html

Answer 15

Hello?

Answer 16

.5*3.2

Answer 17

37.2 = .5 * 3.2 * perimeter

Answer 18

Yeah i've got that down but I don't know where to start that from there

Answer 19

ok let p represent perimeter

37.2 = .5 * 3.2 * p
37.2 = 1.6 * p
(37.2/1.6) = p
p = 23.25
What do we do from here?

Answer 20

Oh see i didn't know what to do from the second step.

Answer 21

4.565

Answer 22

yep, good job!

Answer 23

THank you so much!

Answer 24

no need to thank me

Answer 25

hahaha nice ;P