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what will be the perimeter and area of the rectangle below if its enlarged by using a scale factor of 5.5

- anonymous

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- 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

|dw:1437068962331:dw|

- anonymous

Can you tell me the formula for Area of Rectangle?

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## More answers

- 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

I don't

- 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

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

- anonymous

ok

- anonymous

|dw:1437069539918:dw|

- 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

yes

- 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

Clear upto this? Any doubt?

- 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

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

- anonymous

yes, okay.

- anonymous

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

- anonymous

alright

- anonymous

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

- anonymous

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

- anonymous

right.

- anonymous

|dw:1437070036436:dw|

- anonymous

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

- anonymous

yes*

- anonymous

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

- anonymous

xD

- anonymous

Okay, so add all the side lengths..
\(Perimeter = l + l + w + w = 2 l + 2w \)

- anonymous

All good till here?

- 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

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

- anonymous

I got 28

- anonymous

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

- anonymous

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

- anonymous

right.

- anonymous

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

- anonymous

yes

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

50

- anonymous

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

- anonymous

Area buddy..

- anonymous

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

- anonymous

155.25

- anonymous

Any mistake have you done?

- anonymous

155.25 cm2 , I believe that's correct.

- anonymous

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

- anonymous

No, it was A

- anonymous

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

- 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

Both c and a have 155.25 as an option.

- anonymous

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

- anonymous

yes

- anonymous

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

- anonymous

alright xD , thanks for the help.

- anonymous

Any doubt anywhere??

- anonymous

nope

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

\(\dagger\)

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