Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. Round your answer to the nearest tenth.

find the area of each of the 6 equilateral triangles making up the hexagon

Each side of triangle = 12 yards

{ by the way, first check apothem length because it is our altitude )
tan 30 = (1/2)(12)/apothem
apothem = 6/tan 30 = 10.4 - sure enough, whew }

so area of triangle = (1/2)(base)(apothem)
= .5 * 12 * 10.4 = 62.4

so 6 of them is 6*62.4 = 374 yd^2

I just took the test. The answers are as follows:

1. A. 60 cm.
2. B. m<1=45, m<2=67.5
3. A. 13/3 ; 196/9
4. B. 309.0
5. All are considered correct
6. A. Arc AB 162
7. 30 pi
8. B. 10.89 pi
9. D. 11.7
10. C. (120pi +36 square root 3)
11. B. 1,036
12. C. 25.2
13. C. 60
14. D. 374.4
15. C. 8877
16. B. 60

Ms. Sue would you be able to help me! I don't want the straight answer i want to actually learn how to solve a question like this!

Ms.Sue wont be responding she had died not to long ago one of her students have said that she had a heart attack or something like that. ~ sorry

As i realize this question was posted 2014 but there are people answering in 2020 ._.

Another thing, When posting answers you really shouldn't or you should state the question as well because sometimes the questions w/answers get mixed up so not every answer is the same.

Thank You so much Damon!

You are welcome :)

Yes but she wasn't dead in 2015

Can someone tell me how to do this please?

A park in a subdivision has a triangular shape. Two adjacent sides of the park are 533 feet and 525 feet. The angle between the sides is 53°. Find the area of the park to the nearest square foot.
My answer is 139912.5.
A = 1/2 bh