Figure ABCDE has vertices A(−2, 3), B(2, 3), C(5, −2), D(0, −4), and E(−2, −2). Plot the points on your own coordinate grid and connect the points in alphabetical order. Decompose Figure ABCDE into rectangles and triangles. Part A: How many triangles and rectangles did you make? (1 point) Part B: Use Figure ABCDE created on your coordinate grid to find the lengths, in units, of Sides AB and AE. (4 points) Part C: What is the area of Figure ABCDE? Show your work. (5 points)

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Figure ABCDE has vertices A(−2, 3), B(2, 3), C(5, −2), D(0, −4), and E(−2, −2). Plot the points on your own coordinate grid and connect the points in alphabetical order. Decompose Figure ABCDE into rectangles and triangles. Part A: How many triangles and rectangles did you make? (1 point) Part B: Use Figure ABCDE created on your coordinate grid to find the lengths, in units, of Sides AB and AE. (4 points) Part C: What is the area of Figure ABCDE? Show your work. (5 points)

Mathematics
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How would i do this? im confused on how to solve this.

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I'm doing the drawing of your points...
Ok should i get graph paper?
I think that it is better
i can't find it nvm
|dw:1438892480757:dw|
next step: |dw:1438892648200:dw|
next step: |dw:1438892711601:dw|
I got two rectangles and two triangles
Yes it looks really good
to find the length of in units of Sides AB and AE how would i do that i keep forgetting what to do
you have to compute the difference between the x-coordinates or y.coordinates. For example: \[\Large \begin{gathered} AB = 2 - \left( { - 2} \right) = ... \hfill \\ AE = 3 - \left( { - 2} \right) = ... \hfill \\ \end{gathered} \]
the distance has to be always a positive number
4
AB=4, ok! and AE=...?
i got 5
that's right!
Whoop whoop! (:
the area of our polygon is given by the sum of the areas of the two rectangles and two triangles
So i do what i just did for all of them now for c?
|dw:1438893214246:dw|
area of rectangle ABPQ= PQ*AP=4* 3=...? being PQ= AB= 4,a nd AP = 3-0=3
12
ok! next: area of rectangle PQER: ER*EP= 4*2=... being ER=AB=4 EP=0-(-2)=2
8
correct!
nexT: area of triangle ECD= EC*HD=...? being EC=5-(-2)=7 HD=-2-(-4)=2 |dw:1438893545943:dw|
next*
oops... area of triangle ECD= (EC*HD)/2=...?
11
and
we have: area of triangle ECD= EC*HD=(7*2)/2=...?
7
correct!
next step: are of triangle BRC= BR*RC/2=...? being: BR=3-(-2)=5 RC=5-2=3
7.5? is it 5x3x1/2?
that's right!
yay!
so area of our polygon is: 12+8+7+7.5=...?
34.5!!
yes! correct!
Yes im so happy when you help me i understand it better.
thanks! :)

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