Question

1.)The perimeter of a rectangle is 52.It's length is 2 more than twice the measure of it's width. Find it's dimension.

2.)If the diameter of a circle is the same as the radius of another circle, what is the ratio of the circumference of the larger circle to the circumference of the smaller ?

Answer 1

L = 2 + 2W

So,

2L + 2W = 52

4 + 4W + 2W = 52

6W = 48

Find W from here and then Find L..

Answer 2

I don't get it

Answer 3

What you did not get tell me??

Answer 4

ah .. i know ...


6W=48 divided by 6
so the width is 8


and then the L .. how to find it ?

Answer 5

L = 2 + 2W

We know the value of W, so substitute it and find L

Answer 6

Here, just put the values W = 8 (you found)

L = 2 + 2*8

L = 2 + 16

Add it..

Answer 7

i have a question: why is it that it is 4W eh 2(2+2W) =4+4W right ?

Answer 8

L = 2 + 2W

2L + 2W = 52

2(2+2W) + 2W = 52

4 + 4W + 2W = 52

6W = 48

Answer 9

ah ... i thought it was in width !! SORRY :{

Answer 10

he just substituted L with (2+2W)

Answer 11

See, L = 2 + 2*W

Other equation is:

\(2\color{green}L + 2W = 52\)

\(2\color{green}{(2 + 2W)} + 2W = 52\)

This is the way I solved it..

Answer 12

then how to find the dimension?

Answer 13

W is Width & L is Length

You already found out W (that is Width) Now plug in the value of W in the equation

L = 2 + 2W

Answer 14

the answer is 16

Answer 15

I have actually solved for L too..
Can you check there??

Answer 16

Oh, Yes!

Sorry, i missed that post @waterineyes

Answer 17

Check my post above I have solved for L too..

Can you tell me the value of L now??

Answer 18

16

Answer 19

ohh ... its 18 pala

Answer 20

Yes you are right..

Answer 21

then what is the dimension ?

Answer 22

See, when question asks for Dimensions then it is asking for values of Length and Width..

You have found both so that will be your answers..

You can write it as:

Dimensions are:
Length =
Width =

Answer 23

ah .. so how about in number 2 ?

Answer 24

Can you tell me what is the formula for Circumference of a Circle??

Answer 25

2r ?

Answer 26

NO..

Answer 27

2(pi)r

Answer 28

\(2r\) is Diameter

\(2 \pi r\) is Circumference..

Answer 29

Let the other circle has diameter = r

Let the diameter of first circle = 2x

So,

2x = r

So,

\[\frac{2 \pi r}{\pi x} = \frac{2r}{x} = \frac{4r}{2x} = \frac{4r}{r} = 4\]

Answer 30

where did you get the 4r/2x ??

Answer 31

I have just multiply numerator and divide by 2..

Answer 32

ah

Answer 33

the answer is 4 ?

Answer 34

The question is asking for ratio..
So, 4:1

Answer 35

ah :)) thank you so much .... xDD

Answer 36

Welcome dear..

Answer 37

ahm ... question : where does the x go ?


in 4r/2x ?

Answer 38

@waterineyes

Answer 39

See, what is the value of 2x??

2x = r

I have written above..

Got??

Answer 40

no , in number 1

Answer 41

In number 1 ??/

where are you pointing??

Answer 42

ayyy ... i get it !!

Answer 43

Sure???

Answer 44

yep yep :)

Answer 45

So we are done??

Right??

Answer 46

yep yep :)

Answer 47

Do solve problems like these two you will surely get command over them...

Take care..