Question

Find the area of the regular polygon. Round your answer to the nearest tenth.


https://nnds-li.brainhoney.com/Resource/19791663,8AD/Assets/assessmentimages/geo%20part%202%20u2l10%202.jpg
50.0 in.2
172.2 in.2
344.3 in.2
84.4 in.2
@michele_laino

Answer 1

@amistre64

Answer 2

@jim_thompson5910

Answer 3

Are you able to find the value of x?

Answer 4

i got 172.2 for the area

Answer 5

let me check

Answer 6

ok was i right?

Answer 7

I got 172.0477400589 which is somewhat close to 172.2

so you are correct

Answer 8

\(\large A_{regular~polygon} = \dfrac{Pa}{2}\)
where p = perimeter and a = apothem

Here the perimeter is 5 * 10 in.
The apothem is x in Jim's figure.

Exact answer is 172.155634... in^2, so 172.2 in^2 is a close approximation.