can someone help me with my homework?
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 andreaa
can someone help me with my homework?
 chestercat
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 anonymous
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 andreaa
plot the points A= (5,3), B= (4, 6) and D =(5,6) on a set of axes. use a ruler to connect them inorder , including D back to A, to form a QUADRILATERAL ( a shape with four sides )
A) what kind of quadrilateral was formed?
B) how long is each side of quadrilateral?
C) what is the area of the quadrilateral?
D) what is the perminitor?
 dumbcow
i think we need point C
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 andreaa
A= (5,3) B = (4,3) C= (4,6) D= (5,6)
 dumbcow
do you notice any straight lines, vertically and horizontally
 andreaa
well idont have any graph paper
 dumbcow
_
o  o


       


o  o
does that give you idea of what it looks like
 andreaa
noo ihavent done the problem because idont have any graph paper but can we try another problem ?
 dumbcow
you dont need graph paper, make your own graph
if you connect those points above what shape does it look like?
 andreaa
oh okae kool ill try it out right now and see what igot ..
 andreaa
its a square right ?
 dumbcow
yes good job
now count how long is each side?
 andreaa
what do u mean count how long is each side? how do i count it ?
 andreaa
one of the quadrilateral tht was formed is a square right ?
 dumbcow
when you made your graph, you had to use marks along the axis to make your points
count how many marks it takes to get from one point to the next
 dumbcow
yes
 andreaa
igot 41 ?
 andreaa
points
 andreaa
wait 41 points is the perimiter right ?
 dumbcow
lets try something different
look at point A and B
 andreaa
each side is 10 points
 dumbcow
yes i think you kept counting all the way around
 dumbcow
A is (5,3)
B is (4,3)
Notice the 3 stayed the same
how much changed for the xvalue from 4 to 5
 andreaa
yeah thats what iwas doing but from A to B is 10 points .
 dumbcow
oh dont include the first point
count the spaces
 andreaa
so its 8 points ?
 anonymous
no. count the spaces in between the tick marks
 andreaa
yeah igot it is 8 points .
 anonymous
okay thats not right. let's try a different way. look at the xcoordinates for A and B. which is A = 5 and B = 4. then add those numbers together (don't bother with the negative sign. just ignore it). what do you get when you add them together.
 andreaa
igot 1?
 anonymous
5+4=?
 andreaa
9 im very confused about this
 andreaa
u said it was 4 thats why igot 1
 anonymous
i know. but i also said to ignore the negative sign. when dealing in distances you don't deal with negative numbers that's why you can ignore the negative sign and treat the number like a positive number. do you understand this?
 andreaa
yeah now idoo . so its 9 points to get across to another point?
 dumbcow

        

here is a visual how many dashes on either side
 anonymous
yes. it's 9 points. now lets figure out the perimeter. how would you go about figuring this out?
 andreaa
iget it now ... its going to be 9 times 4?
 anonymous
yes. good job.
 andreaa
we skipped question C
 anonymous
do you know the formula for area?
 andreaa
no
 anonymous
okay. area = length x width (A= lw) what is the length and width?
 andreaa
idont get it?
 anonymous
okay. length refers to number of points from A to B or C to D.
width refers to the number of points from A to D or B to C.
 anonymous
so what does length equal and width equal?
 andreaa
youu add them all up ?
 andreaa
or u multiply them ?
 anonymous
okay. remember before when you found that all the distances from each point are 9. that's why the perimeter is 4 x 9. because there are 4 sides and each side has the distance of 9. so when finding area all you need to do is take the distance from one side and multiply it by another side. you with me?
 andreaa
not really im confused
 andreaa
9 times 9?
 anonymous
yes :)
 andreaa
kool 81?
 anonymous
yes. do you want me to try to explain the area formula?
 andreaa
yes please
 andreaa
can u help me with more problems please?
 anonymous
okay. here's a sample problem: find the area of the rectangle.
____________
 
  5
___________
7
the area formula is A=lw
A=Area
l = length
w = width
so the find the area of the above rectangle you need to do what first?
 anonymous
sorry the rectangle got messed up a bit
 andreaa
35 ? kus u times 5 and 7
 anonymous
yes. good job :)
the length is 7
the width is 5
do you have another problem that you want to solve?
 andreaa
yes . A) draw a rectangle using Algebra tiles with area 2x + 4. write an algebraic expression for the dimensions of the rectangle formed with the tiles.
B) draw a rectangle using Algebra tiles with area 2x^2 + 4x in two different ways. write the algebraic expression for each rectangle.
C) how are the sketches for parts (a) and (b) different?
 anonymous
A) okay this would help if you draw a rectangle (don't worry about the dimensions we'll figure that out later).
 andreaa
okae
 anonymous
_______________
 
 

something like this.
now we'll need to use the area formula to figure out the dimensions. can you tell me what the area formula is?
 andreaa
15 times 2?
 andreaa
30
 andreaa
13
 anonymous
the rectangle i drew is just a visual aid. i'm asking for the area formula.
whenever someone is asking for a math formula they don't want specific numbers but the general formula that uses letters that represent numbers. you with me?
 andreaa
yeah isnt it 2x+4?
 anonymous
for this specific problem the area does equal 2x + 4, however, i'm asking for the general area formula that applies to any area question. the area formula is A=lw. can you tell me what l and w mean?
 andreaa
the area formula is A=lw
A=Area
l = length
w = width
 anonymous
yes. good job. now for this problem they gave you area. A = 2x + 4. so we know that also equals length time width
A = lw
A = 2x + 4
2x + 4 = lw
you with me?
 andreaa
not really im confused
 anonymous
okay. do you know what substitution means?
 andreaa
no
 anonymous
what grade are you?
 anonymous
i need to know so i can explain this in terms that you will understand
 andreaa
10th
 anonymous
are you taking algebra 1?
 andreaa
yeah
 anonymous
have you gone over factoring?
 andreaa
yes but idont get math at all
 anonymous
don't worry most people don't get it. it just takes practice.
now can you factor anything out from 2x + 4?
 andreaa
noo ??
 anonymous
you can factor something out from both terms.
can you tell me what the greatest common factor is for 2x and 4?
 anonymous
think about it like this.
2x = (2)(1)(x)
4 = (2)(2)
they both have in common a 2. so we can factor out the 2 so it looks like this:
2(1x + 2)
make sense?
 andreaa
just a lil bit
 anonymous
okay let's do this in steps
step 1: start with the original expression which in this case is 2x + 4
step 2: break the expression down into its factors: (2)(1)(x) + (2)(2) which still equals the original expression
step 3: find the number that both terms have in common, which would be 2
step 4: factor out the 2 so it looks like this: 2(x+2) which still equals the original expression
do you have any questions about this?
 andreaa
nooo
 anonymous
so you get it?
 andreaa
yeah iget what u explained to me just a lil idont get how to do the problems
 anonymous
okay remember the area formula is A=lw and the problem stated that the A=2x+4. we then factored the area into 2(x+2) which gives us 2 separate terms
the problem is asking for the dimensions which is length and width
A=lw
A=2x+4
2x+4 = 2(x+2)
A=2(x+2)
2(x+2) = lw
you with me?
 andreaa
yeah so iwrite tht down for A
 anonymous
not quite.
can you tell me what the length is?
 andreaa
2x+4
 anonymous
no. the area is 2x+4.
i'm asking for the length
area formula: A=lw
A=area
l= length
w=width
 andreaa
so u asked for the formula?
 anonymous
i'm sorry but i don't know how else to explain this so here are the answers
A) draw a rectangle using Algebra tiles with area 2x + 4. write an algebraic expression for the dimensions of the rectangle formed with the tiles.
answer: A = 2(x+2)
A=2x+4
l = 2
w = x+2
B) draw a rectangle using Algebra tiles with area 2x^2 + 4x in two different ways. write the algebraic expression for each rectangle.
answer: A = 2x^2 + 4x
A = 2x(x+2)
l = 2x
w = x+2
 andreaa
thanks so much for ur help . what is C?
 anonymous
you need to sketch out the rectangles for a and b then you can figure out c. it's too difficult to do that on here. best wishes. bye.
 andreaa
thanks so much for all ur help!!!!!!!
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