Question

Find the area of the image below:
59 square units
65 square units
72 square units
83 square units

Answer 1

@whpalmer4 helllppp

Answer 2

decompose it into a rectangle and two triangles. you can find the area of those, right?

Answer 3

right

Answer 4

how do i do that?

Answer 5

Or, a rectangle that fits around the whole thing, and then subtract away the triangles that are outside the figure but inside the rectangle.

Answer 6

bottom left corner of rectangle at (-3,0). What's the upper right corner of the biggest rectangle you can draw inside the figure with that bottom left corner?

Answer 7

(11,1)?

Answer 8

Seriously? The entire rectangle fits within the shaded area? I'm assuming you meant (1,11) because the point (11,1) doesn't even appear on the graph paper...

Answer 9

Isn't the top of the rectangle going to be at the line between S and U?

Answer 10

Im sorry im really confused

Answer 11

You know what a rectangle looks like, right? :-)

Answer 12

yes i do

Answer 13

okay, can you tell me the coordinates of point S?

Answer 14

(-3,7)

Answer 15

Correct. And what are the coordinates of point Q?

Answer 16

(3,0)

Answer 17

Okay. If those two points are the bottom of the biggest possible rectangle you can draw fully within the shaded area, what are the two points at the top of said rectangle?

Answer 18

R and U?

Answer 19

Don't rectangles have 4 equal angles? Would you have an equal angle at U?

Answer 20

Do you have some graph paper handy?

Answer 21

no i do not

Answer 22

Now do you see the rectangle?

Answer 23

the points in this drawing have different letters than your original, but are at the same places.

Answer 24

Can you find the area of that rectangle?

Answer 25

Yes I see it now!!

Answer 26

Okay, what is the area?

Answer 27

Do i use the distance formula?

Answer 28

you're in a race with my 10 year old kid, and he just told me the area :-)

the area of a rectangle is length * width

Answer 29

65?

Answer 30

what is the width? what is the length? what did you multiply to get 65?

Answer 31

I am so confused right now

Answer 32

count the number of boxes to mark off the width. how many is it?
count the number of boxes to mark off the height? how many is it?

Answer 33

this is just like using a ruler...

Answer 34

7 is the width and 7 is the height

Answer 35

No...count them again. it goes from x = -3 to x = 3, how many is that?

Answer 36

i still got 7

Answer 37

-3 to -2 is one
-2 to -1 is one
-1 to 0 is one
0 to 1 is one
1 to 2 is one
2 to 3 is one
--------------
How many times did I type the word "one" above the dashed line in this post?

Answer 38

6

Answer 39

okay. that's how wide it is. agreed?

Answer 40

agreed

Answer 41

so why did you think it was 7? do you understand what you were doing incorrectly?

Answer 42

I think I was just counting to many

Answer 43

okay, what is the height of that rectangle?

Answer 44

6?

Answer 45

try again. you really don't seem to understand the concept here :-(

Answer 46

i got 7 but i feel like its wrong

Answer 47

why do you feel like it is wrong? what is the x coordinate at the bottom? what is the x coordinate at the top?

Answer 48

do you have a teacher you can talk to in person? I think you really need some help with this that I can't really give you...this is all very, very basic material, and if you don't understand it well, you will be in a world of hurt, because everything builds on this.

Answer 49

but let's press on. One dimension was 6, the other dimension was 7. What is the area of the rectangle?

Answer 50

42?

Answer 51

is that an answer, or a prayer? :-)

Answer 52

a little bit of both haha

Answer 53

yes, 42 is correct. ever read the Hitchhiker's Guide to the Galaxy? :-)

Answer 54

haha no I have not! is 42 the final answer for the problem?

Answer 55

No, does that rectangle occupy the entire shaded region?

Answer 56

(in the original drawing)

Answer 57

in THGTTG, it is revealed that 42 is the answer to "Life, the Universe, and Everything"...but not this problem!

Answer 58

Now we have two triangles whose area we need to add to that of the rectangle. The first triangle is the one on top, with vertices at S, U and T. Can you tell me the base and height of the triangle?

Answer 59

No it does not

Answer 60

no it does not what?