WILL MEDAL
What is the area of the figure?

- alurahenderson

WILL MEDAL
What is the area of the figure?

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- jamiebookeater

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- alurahenderson

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

- jojo12g

wheres the piicture

- anonymous

wheres the figure?

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## More answers

- KaylaRdz0405

the figure?

- anonymous

k

- alurahenderson

Sorry I thought I sent it

- anonymous

its fine lol :)

- anonymous

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

- anonymous

do 17 times 14 and then 18 times 12

- alurahenderson

Yes I do

- alurahenderson

b x h /2 ?

- anonymous

And which one is that for?

- anonymous

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 :)

- anonymous

yes

- alurahenderson

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

- alurahenderson

???

- alurahenderson

238 and 216

- anonymous

hm? what do you mean?

- alurahenderson

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

- alyssa_xo

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

- alurahenderson

2?

- alyssa_xo

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

- alyssa_xo

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 \(12+x=17\)

- alurahenderson

5

- alurahenderson

I don't know why I put 2

- alyssa_xo

|dw:1432754292136:dw|
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

- alurahenderson

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

- alyssa_xo

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

- alurahenderson

oh

- alyssa_xo

if you don't believe me you can break it up or do it as a whole.|dw:1432754774085:dw|

- alurahenderson

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

- alyssa_xo

mhm
108+the other area is the whole thing

- alurahenderson

216

- alyssa_xo

hm? I thought the other area was 80

- alurahenderson

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

- alurahenderson

188

- alyssa_xo

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

- alyssa_xo

yeah

- alurahenderson

Okay, Thank you very much :}

- alyssa_xo

you're welcome ;)

- alyssa_xo

:) whoops

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