+0  
 
-5
362
51
avatar+1015 


he length of a rectangle is shown below:

On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, two points A and B are shown. The point A is on ordered pair negative 4, 5, and the point B is on ordered pair 5, 5.

If the area of the rectangle to be drawn is 90 square units, where should points C and D be located, if they lie vertically below A and B, to make this rectangle?

 

 Mar 20, 2019
 #1
avatar+109723 
+2

Here is the starting point.

 

Questions for you Nicholas,

 

1)  How long is the interval AB

2) What is the forumla for the area of a rectangle?

 

 Mar 20, 2019
 #2
avatar+1015 
-5

Well A and B are 9 units apart 

Nickolas  Mar 20, 2019
 #3
avatar+1015 
-5

I am not shere about the Formula of a rectangle.

Nickolas  Mar 20, 2019
 #4
avatar+1015 
-5

Hello

Nickolas  Mar 20, 2019
 #5
avatar+109723 
+2

ok you do not acrually need a formula because area is a measurement of squares.

So 1 square unit is a square that has sides  1 unit by 1 unit .

 

Questions for Nicholas

 

1)  Here is a pic, I want you to tell me how many square units this rectangle that I colour in is.

 

AND

 

2)  If I put lots of rectangles like this going down the graph, how many will I need to make 90 square units.

 

 Mar 20, 2019
 #6
avatar+1015 
-5

Okay first I need it to wait for moderation then I will start

Nickolas  Mar 20, 2019
 #7
avatar+1015 
-5

Is that 9 then 9 square units

Nickolas  Mar 20, 2019
 #8
avatar+109723 
+2

ok you have answered my first question correctly, now answer the second one.

Melody  Mar 20, 2019
 #9
avatar+1015 
-5

-4,-6 would be the first plot and then 5,-6 to make 90 square units I belive

Nickolas  Mar 20, 2019
 #10
avatar+109723 
+2

No, look again.  How many rows do you need?

 

Also, your points MUST have brackets around them.   I mean the the 2 numbers must have brackets around them.

Melody  Mar 20, 2019
edited by Melody  Mar 20, 2019
 #11
avatar+1015 
-5

Well 10 rows

Nickolas  Mar 20, 2019
 #12
avatar+109723 
+2

Yep 10 rows (including the one you already have.

So what are the co-ordinates at the bottom ?

Melody  Mar 20, 2019
 #13
avatar+1015 
-5

(-4,-6) and (5,-6)

 

There you go, i have added the brackets  !

Nickolas  Mar 20, 2019
edited by Melody  Mar 20, 2019
 #14
avatar+109723 
+2

What about the brackets ?

You can edit your last answer     wink

Melody  Mar 20, 2019
edited by Melody  Mar 20, 2019
 #15
avatar+1015 
-5

I trying to it is alittle trickey every time I count ten row I end up with this although I had on question the X cordinate line does not count as a row right.

Nickolas  Mar 20, 2019
 #16
avatar+1015 
-5

What are Brakets to???

 

I dont know if I have read about them before but maybe if you tell me alittle of what they are I will remeber. 

Nickolas  Mar 20, 2019
 #18
avatar+428 
-3

Melody is asking for Parenthasses nickolas...

HiylinLink  Mar 20, 2019
 #23
avatar+109723 
+2

ok thanks Hyi.   :)

 

I would call these things    (  )  brackets 

and 

these things                     {   }   parentheses.

 

But that might be dependent on the country you are in.   Not sure about that.   frown

Melody  Mar 20, 2019
edited by Melody  Mar 20, 2019
 #26
avatar+428 
-3

Yes that actually is on country we are american so we call this ( ) parentheses. and that { } Brackets

HiylinLink  Mar 20, 2019
edited by HiylinLink  Mar 20, 2019
 #32
avatar+109723 
+2

ok, thanks :)

 

Do other people from the US agree with you?

 

I'd like CPhill or Rom to comment but they are not here at the moment. :/

Melody  Mar 20, 2019
edited by Melody  Mar 20, 2019
 #35
avatar+428 
-2

Yes They do when we say pemdas this alwas means () Parentahses in javascript programing which he got confused when you said that we Call these things { } but we call them brackets any way.

HiylinLink  Mar 20, 2019
 #36
avatar+109723 
+2

I know in PEDMAS p stands for parentheses but I think that is just being used as a generalisation becasue you can use 

 ( )   or   { }   or  [ ]    and they would all be considered the same for order of operation.

 

 

But yes I think i have notice other Americans use the words opposite to us (Australians) too.   frown

Melody  Mar 20, 2019
 #37
avatar+1015 
-5

I can call them padmaes if that is what you say you call they are ao we under stand each other

Nickolas  Mar 20, 2019
 #38
avatar+428 
-2

I'm aware you know XD sorry it was the first thing that poped into my mind to use as an example. Yeah I have had a similar casre I never knew germens used a cooma instead of a decimal.

HiylinLink  Mar 20, 2019
 #17
avatar+109723 
+2

After you get the points displayed correctly you can tell me

 

1)  What is the length of your rectangle (that is the long side)      L=?

 

2) what is the breadth of your rectangle (that is the short side)     b=? 

 

The area was   90 units squared, that was in the question.

 

3) SO what do you think that the formula for the area of a rectangle might be?

 Mar 20, 2019
 #19
avatar+1015 
-5

ohh so It the points  would be (-4,-6) and  (5,-6)

Nickolas  Mar 20, 2019
edited by Melody  Mar 20, 2019
 #20
avatar+1015 
-5

Thanks for telling me Hiylink  

Nickolas  Mar 20, 2019
 #21
avatar+1015 
-5

Thanks melody I am starting to belive I am getting it from your awsome teaching

Nickolas  Mar 20, 2019
 #22
avatar+1015 
-5

So the Formula of a rectangle would be Lenth times with 

Nickolas  Mar 20, 2019
edited by Nickolas  Mar 20, 2019
 #24
avatar+109723 
+2

Not base.  Rectangles do not have a base :)

Melody  Mar 20, 2019
 #25
avatar+1015 
-5

Lenth * With 

Nickolas  Mar 20, 2019
 #27
avatar+1015 
-5

So I would calculate the units on each side and the times it 

Nickolas  Mar 20, 2019
edited by Nickolas  Mar 20, 2019
 #28
avatar+109723 
+2

better but width has a d in it and usually it is referred to as breadth.

 

Area of a rectangle = length * breadth       (units squared)

Melody  Mar 20, 2019
 #29
avatar+109723 
+2

To answer the question, first you need to work out the distance between the points, which was 9 units.

 

Then you say   9* what = 90 

the 'what' is the other dimension of the rectangle.   9*10=90

so the other side must be 10 units long.  (10 rows of 9 little squares)

with that you can work out where the points C and D go    laugh

 

You already did that :))

 Mar 20, 2019
 #31
avatar+1015 
-5

So the answer is (-4,-6) and (5,-6) 

Nickolas  Mar 20, 2019
 #30
avatar+109723 
+1

Excellent learning Nicholas   laugh cool

 Mar 20, 2019
 #33
avatar+1015 
-5

Thankyou for your time to help me it is cool

Nickolas  Mar 20, 2019
 #34
avatar+1015 
-5

C(4, −5)

, D(−3, −5)

 

C(5, −4),

D(−4, −4)

 

C(5, −5),

D(−4, −5)

 

C(−5, 5),

D(−5, −4)

 

HERE ARE MY CHOICES THOUGH sad

Nickolas  Mar 20, 2019
 #39
avatar+109723 
+1

Yea sorry, your answer was incorrect.

I thought you had fixed it.

 

Look again !

 

You have to go down a TOTAL of 10 rows (including the one that is already there)

 Mar 20, 2019
edited by Melody  Mar 20, 2019
 #40
avatar+1015 
-5

The the parethesis or PEDMAS 

(-4,-6)and (5,-6) was correct 

Nickolas  Mar 20, 2019
 #41
avatar+1015 
-5

(-4,-4) and (5,-4)

Nickolas  Mar 20, 2019
 #42
avatar+109723 
+1

Nope, you are still having trouble counting   wink    Try again.  frown

Melody  Mar 20, 2019
 #43
avatar+1015 
-5

frownindecision  

 

I am trying to think 

Nickolas  Mar 20, 2019
 #44
avatar+109723 
+1

You started at 5 and you go down 10rows   that is   5-10  = ?

 

Count down 10 rows - carefully!

Melody  Mar 20, 2019
 #45
avatar+1015 
-5

Ohhh wait it is 

(-4,5) and (5,-5)

Nickolas  Mar 20, 2019
 #46
avatar+1015 
-5

indecision

 

I am  not to  sure frown

Nickolas  Mar 20, 2019
 #47
avatar+109723 
+1

Yep now you got it   !      cool

 

Melody  Mar 20, 2019
 #48
avatar+1015 
-5

YEAH 🎉🎉🎉🎉🎉🎉🎉🎊🎊🎊🎊🎊🎊🎊🎊🎊🎊🎊🎆🎆🎆🎆🎇🎇🎇🎇🎇🎇🎉🎉🎉🎉🎉✨✨✨🎉🎉🎉🎉🎉🎉🎉🎉🎊🎊🎊🎊🎊🎊🎇🎇🎇🎆🎉🎉🎉✨✨

Nickolas  Mar 20, 2019
 #49
avatar+12269 
+1

If the area of the rectangle to be drawn is 90 square units, where should points C and D be located, if they lie vertically below A and B, to make this rectangle?

C(5|-5) D(-4|-5)

laugh

 Mar 20, 2019
 #50
avatar+1015 
-5

Thanks Melody, Omi67, and Hiylink 

Nickolas  Mar 20, 2019
 #51
avatar+109723 
0

Thanks Omi, that is a good diagram :)

Melody  Mar 20, 2019

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