Question

A patio in the shape of a regular octagon (8-sided figure) has a side length of 24 ft and an apothem length of 60 ft.
What is the patio’s area?

Answer 1

@HannahC234
@Lovelarap
@MissSmartiez
@phi
@truwhovian11
@Yinshy
@YoungStudier

Answer 2

sorry, idk

Answer 3

;c

Answer 4

@AloneS do you think you can help?

Answer 5

@annie12m dear.. did you look it up?

Answer 6

i did but they were all different answers

Answer 7

Give us the formula of the patio's shape. Think you could do that? Might want to look it up, then we will work it through.

Answer 8

im looking up how to do it

Answer 9

Same, this is a bit tricky. We would need to use assorts of items, and use the apothem theory I suppose.

Answer 10

Meerkat8 has it down pat at Brainly.com.


Meerkat8:

Given:
Octagon-shaped patio
Side length = 24ft
apothem length = 60ft

Area of a regular octagon = 2 * a² * (1 + √2)
a = side length

A = 2 * (24ft)² * (1 + √2)
A = 2 * 576ft² * (1 + 1.414)
A = 2 * 576ft² * 2.414
A = 2,780.93 ft²

http://brainly.com/question/1042240


Not sure if his hypothesis is correct though, I am sorry about this!

Answer 11

it wont let me send the file because it keeps hinding the post button so heres the link..

https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=regular+octagon+area

Answer 12

2781.17402

Answer 13

If they gave you the apothem, then they want you to work with the triangles.
The octagone has 8 sides, so it is made up of 8 congruent triangles.
The area of each triangle is: A(△)=12sa
where s is the length of a side and a is the apothem.

Answer 14

so 60 (triangle) = 12 (24 * 60)

Answer 15

I'm sorry, a typo there A(△)=(1/2) sa

Answer 16

^

I'd follow up what he is saying

Answer 17

60 (triangle) = 1/2 (1440)
60 (triangle) = 720
/60 /60
triangle = 90

Answer 18

A(△) = 1/2 (1440)
A(△) = 720
Up till here, all good.
Then you multiply by 8 because the octagone is made up of 8 triangles.
A(octagone) = 8 * A(△)

Answer 19

8 * 60 = 480(triangle)

Answer 20

Not quite, you multiply the area of the triangle by 8.

Answer 21

The area of the triangle is the one you just found: A(△) = 1/2 (1440) = 720

Answer 22

oh 720 * 8 = 5760?

Answer 23

Yep !

Answer 24

thanks! i medal u and fanned u

Answer 25

Awesome ! Thx =)

Answer 26

i can do the other problems by my self now! thanks for ur help