Question

Please help picture in comments
Explain how to find the area of the figure?

Answer 1

@jim_thompson5910 These three questions are the hardest and I don't understand at all

Answer 2

@jim_thompson5910

Answer 3

are you able to determine the coordinates for the four points?

Answer 4

I recommend you have a look at this article

http://www.regentsprep.org/regents/math/algebra/as1/areabox.htm

Answer 5

I don't understand the graph part. Like when I look for the coordinates it's like changes or something @jim_thompson5910

Answer 6

`Like when I look for the coordinates it's like changes or something `
I don't know what you mean here

Answer 7

When you look at the graph like the x line it doesnt add up and confuses me

Answer 8

@jim_thompson5910

Answer 9

oh you mean the points aren't on whole numbered coordinates?

Answer 10

Yes

Answer 11

@jim_thompson5910

Answer 12

hmm let me think

Answer 13

Based on what I see, they all have whole number coordinates

let's go point by point

Answer 14

point A is at (-4,-2)

do you see how I'm getting this?

Answer 15

each tick represents 2

Answer 16

yes i do

Answer 17

where is point C at?

Answer 18

c (8,4)

Answer 19

wouldn't b be (-2,5) and d(6,-4) @jim_thompson5910

Answer 20

B = (-2,5), yes
you're a bit off in terms of D

Answer 21

dang it what is it?

Answer 22

4?

Answer 23

A = (-4,-2)
B = (-2,5)
C = (8,4)
D = (4,-4)

Answer 24

i think it was because it was sideways.

Answer 25

Now it says find the figure to the nearest tenth.

Answer 26

area* @jim_thompson5910

Answer 27

the goal is to find the area of the blue region

Answer 28

what I would do is box in the figure to form a rectangle

Answer 29

do you see where this is headed?

Answer 30

I think so

Answer 31

step 1) find the area of the large rectangle. Call this M

step 2) Find the area of each triangle

step 3) Add up the areas of each triangle. Call this N

step 4) Subtract M-N to get the area of the blue region

Answer 32

okay and how do we find the area of the large rectangle?

Answer 33

the width stretches from -4 on the x axis to +8 on the x axis

8-(-4) = 8+4 = 12

12 is the width

Answer 34

the lowest the rectangle goes is -4, the highest it goes is +5

5 - (-4) = 5+4 = 9

the height of the rectangle is 9

Answer 35

use the coordinates of the points to help determine the dimensions of the rectangle and triangles

Answer 36

i am not sure i know how to do that?

Answer 37

you either count the spaces between the points or you subtract coordinates

Answer 38

so like -2-(-4)=2+4=6

Answer 39

https://youtu.be/lebUPBjz5qI?t=3m47s

this video has a similar example
if it doesn't scroll for you, go to 3:47 in the video

Answer 40

`so like -2-(-4)=2+4=6`
which points are you looking at?

Answer 41

a and d i thought thats what you are suppose to do??

Answer 42

so you're trying to calculate the area of the purple triangle?

Answer 43

oh to be honest I have no clue what im doing

Answer 44

what was the last step that I posted that made sense? we'll start from there

Answer 45

step 2

Answer 46

Look at point A. What is the x coordinate of point A?

Answer 47

-4

Answer 48

how about the x coordinate of point D?

Answer 49

4

Answer 50

how many spaces must we move to go from -4 to +4 ?

Answer 51

use the x axis as the number line

Answer 52

8?

Answer 53

yes, so the purple triangle has a base of 8

Answer 54

go back to point A. What is the y coordinate of point A?

Answer 55

-2

Answer 56

yep, how about the y coordinate point D?

Answer 57

-4

Answer 58

how many spaces must we move to go from -2 to -4? use the y axis as the number line

Answer 59

1

Answer 60

no

Answer 61

i meant 2

Answer 62

yes

the height is 2

Answer 63

Do you agree with everything so far?

Answer 64

Yes i do

Answer 65

ok so you'll do the same steps for the other triangles

Answer 66

Okay