Question

WILL MEDAL
What is the area of the figure?

Answer 1

http://static.k12.com/calms_media/media/1564500_1565000/1564707/1/da50a8e105c95ba2b02d0c060fa79b0955c72380/MS_IMB-1401012-1100604.jpg

Answer 2

wheres the piicture

Answer 3

wheres the figure?

Answer 4

the figure?

Answer 5

k

Answer 6

Sorry I thought I sent it

Answer 7

its fine lol :)

Answer 8

DO you know how to find the area of triangles and/or trapezoids?

Answer 9

do 17 times 14 and then 18 times 12

Answer 10

Yes I do

Answer 11

b x h /2 ?

Answer 12

And which one is that for?

Answer 13

well, with this figure you can break it down...so if you know how to find the area of triangles and trapezoids, its not as hard as it looks :)

Answer 14

yes

Answer 15

How would I find the width? {I am horrible with math sorry}

Answer 16

???

Answer 17

238 and 216

Answer 18

hm? what do you mean?

Answer 19

Because if i break it up the shape at the top would need a height, sorry I meant hieght not width

Answer 20

you have the height of part of the whole shape and and the entire complex shape
the trapezoid is just 17-12

Answer 21

2?

Answer 22

http://puu.sh/i2KkC/b0aa4001c8.png
nope

Answer 23

notice that the height of the triangles is 12
the whole shape's height is 17
that means if you extend the height of the triangle to the end of the shape you get \(12+x=17\)

Answer 24

5

Answer 25

I don't know why I put 2

Answer 26

area of a trapezoid = \(\dfrac{a+b}{2}h=\dfrac{14+18}{2}*5=\dfrac{32}{2}*5=16*5=80\)

next, we find the area of the triangles

Answer 27

Okay, is 9 the width because it's half of the bottom of the top shape?

Answer 28

that isn't necessary as we'd be adding up the 2 triangles anyways. recall that \(Area(\Delta)=\dfrac{bh}{2}\)

Answer 29

oh

Answer 30

if you don't believe me you can break it up or do it as a whole.

Answer 31

oh! okay see I didn't understand what you were saying at first I get it now it would be 108?

Answer 32

mhm
108+the other area is the whole thing

Answer 33

216

Answer 34

hm? I thought the other area was 80

Answer 35

oh im sorry I thought you meant not to half to triangles and add those

Answer 36

188

Answer 37

oh, you added up the triangle twice
the reason I drew it out was because I wanted to demonstrate that you could either take the area of the whole triangle (0.5*12*18=108)

or you could do the 2 triangles (0.5*12*9)+(0.5*12*9)=108

Answer 38

yeah

Answer 39

Okay, Thank you very much :}

Answer 40

you're welcome ;)

Answer 41

:) whoops