anonymous one year ago will fan and medal what will be the perimeter and area of the rectangle below if its enlarged by using a scale factor of 5.5

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1. anonymous

| options are perimeter = 50 cm, area =155.5 cm2 perimeter = 50 cm, area =1,452 cm2 perimeter = 154 cm, area = 155.25 cm2 perimeter = 154 cm, area = 1,452 cm2

2. anonymous

|dw:1437068962331:dw|

3. anonymous

Can you tell me the formula for Area of Rectangle?

4. anonymous

You have been given Length = 8 cm and Width = 6 cm.. I want to know if you know the formula to find Area of a Rectangle or not?

5. anonymous

I don't

6. anonymous

And please, if you don't know anything I am asking, then say frankly and boldly that you don't know, I am here to make you know everything.. Don't worry about that.. Now, let us have some interaction so that we can both solve it properly and can understand it..

7. anonymous

Okay, I tell you, suppose we have a rectangle with its length = l (el) cm and width = w cm..

8. anonymous

ok

9. anonymous

|dw:1437069539918:dw|

10. anonymous

So, now we need to find its Area, I tell you that Area of any rectangle is given by: Area = Length x Width.. Did you get this?

11. anonymous

yes

12. anonymous

So, the Rectangle that I have draw with l cm and w cm is having area of: $$Area = l \times w = lw \quad cm^2$$..

13. anonymous

Clear upto this? Any doubt?

14. anonymous

hm, when i multiply the actual length by the width of my rectangle i come up with 48. Is that how I am supposed to do this?

15. anonymous

I am just telling your the basic formulae that we need to solve your original problem..

16. anonymous

yes, okay.

17. anonymous

Yes, Area = 48 cm^2, but that is just one part, we have a lot many parts to do..

18. anonymous

alright

19. anonymous

Just leave this step for a while, now we come to Perimeter...

20. anonymous

What is Perimeter?? It is sum of all the side lengths a rectangle has...

21. anonymous

right.

22. anonymous

|dw:1437070036436:dw|

23. anonymous

A rectangle has two length sides and two width sides, yes or no?

24. anonymous

yes*

25. anonymous

I thought you went on speaking Japanese while learning rectangles. :P

26. anonymous

xD

27. anonymous

Okay, so add all the side lengths.. $$Perimeter = l + l + w + w = 2 l + 2w$$

28. anonymous

All good till here?

29. anonymous

I don't understand the answer. I understand that we are going to be adding the lengths and widths together but what does that end result mean?

30. anonymous

Nothing.. We are just adding all the lengths and widths we have.. Now, you try adding all sides of your original question..

31. anonymous

I got 28

32. anonymous

That is good.. Now this is exactly you are half way done..

33. anonymous

Now, read your question last line or last few words, if your rectangle is ENLARGED BY SCALE FACTOR OF 5.5, Right?

34. anonymous

right.

35. anonymous

It means now your length and width both have been increased by 5.5 cm thereby enlarging it.. Getting this point?

36. anonymous

yes

37. anonymous

So, 8 has now become (8+5.5 = 13.5) and width has now become (6+5.5 = 11.5).. All good?

38. anonymous

yeah, so I will add 13.5 + 13.5 + 11.5 +11.5 , correct?

39. anonymous

So, now your rectangle becomes : |dw:1437070820960:dw|

40. anonymous

Good yaar, you are faster than light now.. :) Yes add them to get your new Perimeter that you need to find..

41. anonymous

50

42. anonymous

So C and D options are cancelled out.. Now find Area as you did earlier..

43. anonymous

Area buddy..

44. anonymous

Area = Length x Width... Just put the values in..

45. anonymous

155.25

46. anonymous

Any mistake have you done?

47. anonymous

155.25 cm2 , I believe that's correct.

48. anonymous

No, it is all right.. Good, is your option B right??

49. anonymous

No, it was A

50. anonymous

Sorry, I mean check values in option A again..

51. anonymous

Area there is 155.5 or 155.25, have you missed 2 there? I think yes, because your option C has 155.25, you must be missing 2 there..

52. anonymous

Both c and a have 155.25 as an option.

53. anonymous

That is good.. So, you go with A here , right??

54. anonymous

yes

55. anonymous

Okay, good but just go with A and then leave it, don't marry it and take to your home.. :P

56. anonymous

alright xD , thanks for the help.

57. anonymous

Any doubt anywhere??

58. anonymous

nope

59. anonymous

To summarize the formulae: $$1. \quad Area = Length \times Width$$ $$2. \quad Perimeter = 2(Length + Width)$$ In case of Rectangle only.. :)

60. anonymous

thank you so much I suck at math. Fanned you! :D

61. anonymous

Fanning someone does not cost you not I actually need to get fanned.. :)

62. anonymous

$$\dagger$$