## anonymous 5 years ago the veranda is covered with tiles(30cm times 30cm) in 5 black and4 white tiles,how many black tiles are used to cover the veranda floor if that pattern is continued

1. anonymous

what is the total area of the veranda?

2. anonymous

the area is 4,2m time 1m=4,2m

3. anonymous

total area = \[4.2\operatorname{m}^2\]?

4. anonymous

the total area is 4.2 \[m ^{2}\]

5. anonymous

do you have an answer? I get 25 but I am rounding down as the answer I got is not an integer...

6. anonymous

so the answer is 25 black tiles

7. amistre64

Veranda is covered with tiles (30cm times 30cm): is 30 by 30 the measurement of each tile?

8. anonymous

yes in cm

9. amistre64

good, a centimeter is 1/100 of a meter. You said that the enire veranda is 4.2 meters squared right?

10. anonymous

yes.

11. amistre64

.03 (.03) = .0009 m^2 right?

12. anonymous

yes because you converted the cm to m

13. amistre64

thats my error... it should be .3(.3) = .09 m^2

14. amistre64

yes, we need to convert centimeters to meters to be able to determine how many m^2 one tile covers

15. anonymous

you right it is 0.3 because 30/100 =0.3m

16. amistre64

.09x=4.2? x = 4.2/.09 = 420/9 which is 46 and 2/3 tiles all together

17. amistre64

I know that 7 times 6 is equal to 42; so I assume that this veranda is NOT a square. and that it is either .6 meters by 7meters, or .7meters by 6 meters. Would that be a fair assumption to you?

18. anonymous

the veranda lenght is 4,2m by breadth 1m

19. amistre64

4.2 by 1 meter? thats good too :) either way we need 46/23 tiles all together.

20. anonymous

@amistre, is area under any curve found out by integrating the function?

21. amistre64

@think; yes. When we integrate a function, we are adding up all the little slices that it is made of. Which would equal its area.

22. amistre64

I get 3 and 1/3 tile in 1 meter.

23. anonymous

okay, so integrating=finding the area & differentiating= ?

24. amistre64

differentiating is ....finding the rate of change with respect to another variable. Differentiate with respect to (x) or (time). And thats finding the derivative.

25. amistre64

and I get 14 tiles to fit in 4.2 meters

26. amistre64

14(.3) = 4.2 right?

27. anonymous

30cm * 30cm=900cm 900cm divide by 100m =9m*4,2m= 40 tiles

28. amistre64

cant do it like that; you have to realize that the area changes and you no longer deal with 900 cm.. each tile is .3 meters wide; (.3)(.3) = .09 m^2 you have to use this measure of area. otherwise you mess yourself up. Does that make sense?

29. amistre64

900cm^2 is not easily converted to m^2 so convert it before you find the area.

30. anonymous

oh okay so the answer u gave me the 1st one is right

31. amistre64

Yes. .3 meters wide by .3 meters deep. .3x = 4.2 x = 14 tiles along the 4.2 meter side. .3x = 1 x = 1/.3 = 10/3 x = 3 and 1/3 tile to span 1 meter side. Do you agree with those numbers?

32. anonymous

yep,thanks i'll tel you the feed back tomrw ,pls help me with the last two parts of my homework

33. amistre64

black = 22 and white = 21 and 1/3 by those measurements

34. amistre64

whats the last two parts of your homework?

35. amistre64

Doh, I drew 13 tiles...let me reccount that..

36. anonymous

its going on grt though...

37. amistre64

You need 23 and 1/3 black tiles and 23 and 1/3 white tiles. Better buy 24 :)

38. anonymous

24 black tiles.right ...the front of the roof is in the shape of a isosceles triangle.the side of the roof are 50cm longer at the ends of the roof hiegh is 1,7m .calculate the lenght of the sides of the of the triangle

39. amistre64

is the height from ground level to the peak or is it from the ceiling line to the peak? This information only makes sense if we have a triangle that has a height of 1.7m and has little (50cm) overhangs extending beyond the base. Is the right?

40. anonymous

from the ceiling line to the peak.thats right the triangle height is 1,7m yes you right

41. amistre64

An isoTriangle has 60 degree corners; and the the sin(60) = 170cm/x(cm) x = 170/sin(60); then add the 50cm to get: x = 170/sin(60) + 50. Does that work for you?

42. anonymous

explain more

43. amistre64

246.3 cm is the answer I get. But to explain more: Have you learned about sine, cosine, and the functions of angles yet?

44. amistre64

or just the pythagorean theorum?

45. anonymous

no

46. amistre64

Do you know the pythagorean theorum then? x^2 + y^2 = r^2 ?

47. anonymous

@amistre, do u know DeMorgan's laws?

48. anonymous

i dont know them

49. amistre64

@think; I have vaguely seen it, but I havent gone over it any. Whats it about?

50. anonymous

its related to sets & functions

51. anonymous

dont we start by converting the 50cm to meters

52. amistre64

Kab: in order to solve this problem; you need to know how to solve right triangles. and you solve them with a formula that says the height^2 + base^2 is equal to the slanted part^2

53. amistre64

@think; not in my repetoire yet :)

54. amistre64

and a right triangle is just half of a square. do you know that?

55. anonymous

bye guys..u both cont..gotta go

56. amistre64

Ciao think :)

57. anonymous

all d best wid ur discussion c u 'll the nxt time

58. anonymous

(H)^2+(B)^2 (1,7)^2+(0,05)^2 2.89m+0.0025m=2.89m^2 i converted the 50cm to meter which is 0,05

59. amistre64

you are on the right track, but I have to point something out to you first. for starters the 50 sm is something we will add at the end because it is not a part of the triangle to begin with. second; we dont know the B yet in order to find the length of the side of the roof. But we do know (because it is an isosolec(sp?) triangle) that the length of the roof is twice B. So lets set up out formula like this: (1.7)^2 + B^2 = (2B)^2 1.89 = 4B^2 - B^2 1.89 = 3B^2 1.89/3 = B^2 ...now square root both sides. sqrt(1.89/3) = B the length of the roof is twiceB 2(sqrt(1.89/3)) = 2B = length of one side of the roof; after you get this number add the overhang of (50cm.) Make sense?

60. anonymous

to make things easy for me may you please give the the hole sum and answer

61. amistre64

Yes, If I did it correctly; I get 2(170)/sqrt(3) + 50 196.3 cm + 50 cm = 246.3 cm is the roofs length on each side. or 2.463 meters

62. anonymous

do you stil have time for the last one, calculate the lenght and breadth of the parallelogram

63. amistre64

I got lotsa time... at least 4 hours :)

64. amistre64

lets go over to that posting for it tho.