Question

What is the area of this regular polygon?













A.

16.8 ft2








B.

23.4 ft2








C.

46.8 ft2








D.

49.2 ft2

Answer 1

Picture?

Answer 2

That is a hexagon, we can use the formula:

\(A = \dfrac{3 \sqrt 3}{2} a^2\)

Where 'a' is the side length.

So plug in 3 for 'a':

\(A = \dfrac{3 \sqrt 3}{2} (3^2)\)

Simplify \(3 \sqrt 3\):

\(A = \dfrac{5.19615242}{2} (3^2)\)

Simplify

Answer 3

@Kamisia

Answer 4

Yes?

Answer 5

Simplify that

Answer 6

\(3^2 =~?\)

Answer 7

9

Answer 8

Yes, now divide 5.19615242 / 2

Answer 9

2.59807621

Answer 10

Yes, now multiply 9 * 2.59807621

Answer 11

23.38268589

Answer 12

Yes, and that rounds to 23.4.

Answer 13

That's our answer :)

Answer 14

Thanks @iGreen

Answer 15

Oh, and

\(\bbox [10pt, lime, border:5pt solid black]{\huge\cal\color{red}\succ\color{blue}{Welcome\ to\ \color{#00A1FF}{Open}\color{#329932}{Study!\color{red}\prec}}}\)

Answer 16

No problem