## anonymous one year ago Help me PLEASE! The DRAWING will be post in comment. A. Find x B. Find the area of the rectangle C. Find the area of the circle D. Find the area of the entire figure E. Find the perimeter of the rectangle F. Find the circumference of the circle G. Find the perimeter of the entire figure

1. anonymous

|dw:1442231676242:dw|

2. anonymous

3. anonymous

4. Goose.

Do you have any idea how you would solve for X?

5. anonymous

I really dont know.

6. Goose.

Okay, well first thing we'll do is take a look at the rectangle.

7. Goose.

We have a Slant height of 10, that slant height would be the hypotenuse of a right triangle. Do you know how to do a^2+b^2=c^2 for right triangles?

8. anonymous

9. Goose.

|dw:1442231914684:dw|

10. Goose.

So, if you square 6, square X and add them together you'll get 10 squared.

11. Goose.

So, if you square 6, square X and add them together you'll get 10 squared.

12. Goose.

So, 36 + x^2 = 100

13. texaschic101

subtract 36 from both sides, then take the sq rt of both sides

14. anonymous

The result will be 8.00, am i right?

15. Goose.

Yes, that is correct.

16. texaschic101

yes

17. Goose.

That is your 'x' Value, so you can plug that in wherever you see 'x'

18. anonymous

|dw:1442232367537:dw|

19. Goose.

The hard part is done, now it's just plugging your numbers in.

20. texaschic101

area of rectangle is L x W

21. anonymous

Area of rectangle=48

22. Goose.

Okay, that's 2 steps down, let's keep going.

23. Goose.

The area of a circle now? The formula is $\pi r ^{2}$

24. texaschic101

area of a circle is pi * r^2.......and r = 1/2(d)....and you already know that diameter(d) = x

25. anonymous

Approx=201.06

26. anonymous

Oh wait wrong.

27. anonymous

A=50.27

28. anonymous

4squared

29. texaschic101

(3.14)(4^2) = 3.14 x 16 =

30. Goose.

You can put an estimate if that's what your teacher is requesting, I'd leave it at $16\pi$

31. anonymous

yea, A=50.27

32. anonymous

On step D. Should i just add the area of circle and rectangle?

33. Goose.

Yup,

34. texaschic101

I am getting 50.24 for area of circle

35. anonymous

36. texaschic101

ok...I just used 3.14 for pi....I rounded

37. Goose.

Plugging in basic 3.14 I got.. about 50.24

38. anonymous

Which one is correct? 50.24 or 50.27?

39. Goose.

Google is probably calculating it from a farther out point of Pi.

40. texaschic101

I would go with 50.24...but thats just me

41. Goose.

50.27 is 'More Correct'

42. Goose.

It's 3.14159 x r^2 then rounded up.

43. anonymous

LOL. I put alredy 50.27

44. texaschic101

lol.....ok

45. anonymous

We are on Step E. Finding the perimeter of the rectangle.

46. Goose.

This is a simple one, you know there are 2 sets of congruent sides, so just add them all up.

47. anonymous

8+8+6+6+=22

48. anonymous

I mean =28

49. texaschic101

P = 2L + 2W

50. Goose.

There you go, c:

51. texaschic101

correct ^^....28

52. anonymous

Yay! lol :D

53. anonymous

How about the entire figure? How do i calculate it?

54. texaschic101

don't forget to put cm or in or whatever you are measuring them with

55. anonymous

Yea

56. Goose.

Now your Circumference, $2\pi r$

57. texaschic101

don't forget r is half of d and d = 8

58. anonymous

~= 25.13

59. Goose.

The entire perimeter would just be Perimeter of Rectangle + Circumference of Circle.

60. Goose.

Again it may vary depening on how many decimal places you go into pi, so that should be good.

61. anonymous

Okay i'm done. THANKS! But i have 2 more question. I'll put this on new question.

62. anonymous

Thanks guys ^_^

63. texaschic101

no problem :)