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

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!

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 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