## VampirePrincess one year ago What is the area of the regular hexagon with a side length of 3 cm and an apothem of 2.6 cm? A. 15.6 cm2 B. 23.4 cm2 C. 46.8 cm2 D. 31.2 cm2

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1. VampirePrincess

this is the pic for this question plz help

2. Michele_Laino

we have to apply this formula: $\Large {\text{area = }}\frac{{{\text{perimeter }} \times {\text{apothem}}}}{{\text{2}}}$

3. VampirePrincess

2.6 is the height and 3 is the base so how would you the numbers in your equation

4. Michele_Laino

hint: perimeter= 6* side= 6*3=...

5. Michele_Laino

so, perimeter=...?

6. Michele_Laino

what is: 6*3=...?

7. VampirePrincess

18

8. Michele_Laino

ok! Now the requested area is: ${\text{area = }}\frac{{{\text{perimeter }} \times {\text{apothem}}}}{{\text{2}}} = \frac{{18 \times 2.6}}{2} = ...$

9. VampirePrincess

18*2.6=46.8 AND THEN divide that with 2 and you get 23.4

10. Michele_Laino

that's right!

11. VampirePrincess

12. Michele_Laino

yes! the area is 23.4 cm^2

13. VampirePrincess

can you help me on one more?

14. Michele_Laino

ok!

15. VampirePrincess

What is the area of the figure? A. 279 in2 B. 342 in2 C. 389 in2 D. 398 in2

16. Michele_Laino

we can view your figure as the union of two rectangles, like this: |dw:1433926182474:dw|

17. Michele_Laino

now the area of the rectangle A is: A_1=10*18=...

18. VampirePrincess

Do i *10 and 18?

19. VampirePrincess

if i do the answer is 180

20. Michele_Laino

ok! the area of rectabgle B is: A_2=11*9=...

21. Michele_Laino

rectangle*

22. VampirePrincess

that is 99. do i add 99 and 180?

23. Michele_Laino

yes! what do you get?

24. VampirePrincess

279

25. Michele_Laino

that's right!

26. VampirePrincess

so the final answer is 279

27. Michele_Laino

yes! The requested area is 279 inches^2

28. VampirePrincess

can you help me in one last one?

29. Michele_Laino

ok!

30. VampirePrincess

How many triangles can be constructed with side lengths of 7 cm, 10 cm, and 18 cm? A. 0 B. 1 C. 2 D. an infinite number

31. Michele_Laino

each side of a triangle has to be greater than the difference between other two sides. That is a general property

32. Michele_Laino

that property is checked using the sides which you have povided?

33. VampirePrincess

i think the answer is A.

34. Michele_Laino

ok! the answer is right. This is the explanation: we have: 18-10=8 and 8 is greater than 7, so the above property is not checked

35. VampirePrincess

i will tell you the ones i got wrong if i got any ok the one that you helped me on ok

36. Michele_Laino

ok!

37. VampirePrincess

i got them all right the ones you helped me on

38. Michele_Laino

:)

39. Michele_Laino

congratulations!

40. VampirePrincess

thank you very much

41. Michele_Laino

:)

42. VampirePrincess

is this my second time giving you a medal on this questions?

43. Michele_Laino

you gave me only one medal to this question

44. VampirePrincess

oh ok

45. VampirePrincess

bye <_> bonne nuit mon ami :)

46. VampirePrincess

@Michele_Laino

47. Michele_Laino

bye :)