anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • 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
anonymous
  • anonymous
|dw:1437068962331:dw|
anonymous
  • anonymous
Can you tell me the formula for Area of Rectangle?

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More answers

anonymous
  • 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?
anonymous
  • anonymous
I don't
anonymous
  • 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..
anonymous
  • anonymous
Okay, I tell you, suppose we have a rectangle with its length = l (el) cm and width = w cm..
anonymous
  • anonymous
ok
anonymous
  • anonymous
|dw:1437069539918:dw|
anonymous
  • 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?
anonymous
  • anonymous
yes
anonymous
  • anonymous
So, the Rectangle that I have draw with l cm and w cm is having area of: \(Area = l \times w = lw \quad cm^2\)..
anonymous
  • anonymous
Clear upto this? Any doubt?
anonymous
  • 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?
anonymous
  • anonymous
I am just telling your the basic formulae that we need to solve your original problem..
anonymous
  • anonymous
yes, okay.
anonymous
  • anonymous
Yes, Area = 48 cm^2, but that is just one part, we have a lot many parts to do..
anonymous
  • anonymous
alright
anonymous
  • anonymous
Just leave this step for a while, now we come to Perimeter...
anonymous
  • anonymous
What is Perimeter?? It is sum of all the side lengths a rectangle has...
anonymous
  • anonymous
right.
anonymous
  • anonymous
|dw:1437070036436:dw|
anonymous
  • anonymous
A rectangle has two length sides and two width sides, yes or no?
anonymous
  • anonymous
yes*
anonymous
  • anonymous
I thought you went on speaking Japanese while learning rectangles. :P
anonymous
  • anonymous
xD
anonymous
  • anonymous
Okay, so add all the side lengths.. \(Perimeter = l + l + w + w = 2 l + 2w \)
anonymous
  • anonymous
All good till here?
anonymous
  • 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?
anonymous
  • anonymous
Nothing.. We are just adding all the lengths and widths we have.. Now, you try adding all sides of your original question..
anonymous
  • anonymous
I got 28
anonymous
  • anonymous
That is good.. Now this is exactly you are half way done..
anonymous
  • anonymous
Now, read your question last line or last few words, if your rectangle is ENLARGED BY SCALE FACTOR OF 5.5, Right?
anonymous
  • anonymous
right.
anonymous
  • anonymous
It means now your length and width both have been increased by 5.5 cm thereby enlarging it.. Getting this point?
anonymous
  • anonymous
yes
anonymous
  • anonymous
So, 8 has now become (8+5.5 = 13.5) and width has now become (6+5.5 = 11.5).. All good?
anonymous
  • anonymous
yeah, so I will add 13.5 + 13.5 + 11.5 +11.5 , correct?
anonymous
  • anonymous
So, now your rectangle becomes : |dw:1437070820960:dw|
anonymous
  • anonymous
Good yaar, you are faster than light now.. :) Yes add them to get your new Perimeter that you need to find..
anonymous
  • anonymous
50
anonymous
  • anonymous
So C and D options are cancelled out.. Now find Area as you did earlier..
anonymous
  • anonymous
Area buddy..
anonymous
  • anonymous
Area = Length x Width... Just put the values in..
anonymous
  • anonymous
155.25
anonymous
  • anonymous
Any mistake have you done?
anonymous
  • anonymous
155.25 cm2 , I believe that's correct.
anonymous
  • anonymous
No, it is all right.. Good, is your option B right??
anonymous
  • anonymous
No, it was A
anonymous
  • anonymous
Sorry, I mean check values in option A again..
anonymous
  • 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..
anonymous
  • anonymous
Both c and a have 155.25 as an option.
anonymous
  • anonymous
That is good.. So, you go with A here , right??
anonymous
  • anonymous
yes
anonymous
  • anonymous
Okay, good but just go with A and then leave it, don't marry it and take to your home.. :P
anonymous
  • anonymous
alright xD , thanks for the help.
anonymous
  • anonymous
Any doubt anywhere??
anonymous
  • anonymous
nope
anonymous
  • anonymous
To summarize the formulae: \(1. \quad Area = Length \times Width\) \(2. \quad Perimeter = 2(Length + Width)\) In case of Rectangle only.. :)
anonymous
  • anonymous
thank you so much I suck at math. Fanned you! :D
anonymous
  • anonymous
Fanning someone does not cost you not I actually need to get fanned.. :)
anonymous
  • anonymous
\(\dagger\)

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