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anonymous

  • one year ago

1.) 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. My answer: 312square yards. Is that correct? 2.) Question is: A park in a subdivision is triangular-shaped. Two adjacent sides of the park are 533 feet and 525 feet. The angle between the sides is 53 degrees. Find the area of the park to the nearest square foot. My answer: 111739.09. Is that correct?

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  1. rhr12
    • one year ago
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    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

  2. rhr12
    • one year ago
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    That's what i got

  3. rhr12
    • one year ago
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    = 111739 square feet

  4. rhr12
    • one year ago
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    Thats i got for the second one.

  5. rhr12
    • one year ago
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    U r correct for the second one. But i got a different answer for the first one

  6. anonymous
    • one year ago
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    Alright. Thank you.

  7. anonymous
    • one year ago
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    How did you get the second one?

  8. anonymous
    • one year ago
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    @rhr12

  9. rhr12
    • one year ago
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    Area = (1/2)(533 ft)(525 ft) sin(53) = 111739 square feet

  10. anonymous
    • one year ago
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    Alright. Thank you

  11. anonymous
    • one year ago
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    @Michele_Laino is this information correct?

  12. anonymous
    • one year ago
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    that rhr put

  13. Michele_Laino
    • one year ago
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    question #1 perimeter=6*12=72 yards, so: \[\Large \begin{gathered} area = \frac{{perimeter \times apothem}}{2} = \hfill \\ \hfill \\ = \frac{{10.4 \times 72}}{2} = 374.4 \hfill \\ \end{gathered} \]

  14. Michele_Laino
    • one year ago
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    question#2 the requested area is: \[\Large Area = \frac{1}{2} \times 533 \times 525 \times \sin 53 = 111,739.0907\]

  15. Michele_Laino
    • one year ago
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    so, the second answer is correct!

  16. anonymous
    • one year ago
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  17. anonymous
    • one year ago
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