Can someone please help me? I really need help with this. Iwill give a medal.
Find the area of the following shape. You must show all work to receive credit.

- Stormswan

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- schrodinger

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- Hitaro9

Think you can take a picture or draw the shape?

- Stormswan

##### 1 Attachment

- Hitaro9

Okay. If you're ever given something that seems unnecesary complicated, always try to take it down to something very simple.
If you were given a similar problem, but it was just a rectangle or a triangle on a similar grid, could you do it?

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- Stormswan

uhh maybe. would it just be multiplying the sides?

- Stormswan

if that is the case then can't i just make that one shape in 2 shapes.. and find out the different areas?

- Hitaro9

Right. For a rectangle to get the area you multiple the side lengths. For a right triangle you multiple the side lengths and divide by two
Does this picture help at all?
http://puu.sh/idZon/229348e264.png

- Hitaro9

If you can find the area of each individual shape and add them up, you'll get the whole area

- Stormswan

So for the rectangle it would be 6x6=36 right?

- Hitaro9

Yep! 36 units squared

- Stormswan

and for the triangle i would do... 3x3 divided by 1/2? which would be 4.5?

- Hitaro9

Which triangle are you looking at? I think you might've miscounted the side length

- Stormswan

the one you drew.... of wait. it's 4 x 6. my bad. and then the answer would be 12?

- Hitaro9

Okay hold on

- Hitaro9

http://puu.sh/idZW3/9e91af3666.png

- Hitaro9

That triangle is 3 by 4. Does that make sense?

- Stormswan

ohhhhhhhh okay, nvm omg. I was doing it the wrong way, yeah. i get it. Then it's 6.

- Stormswan

so then the final answer is 42. okay

- Stormswan

Thank you!!!!!

- Hitaro9

Wait. There are two other triangles

- Stormswan

wait wut .-.

- Hitaro9

It's easy from here, but don't forget them haha

- Hitaro9

http://puu.sh/idZon/229348e264.png

- Hitaro9

Sometime's it's important to look back at the bigger picture. There are 3 triangles and one rectangle

- Stormswan

so...
3x4 div by 1/2= 6
3x6 div by 1/2= 9
6x6 div by 1/2= 18

- Stormswan

and for the rectangle it would be 6x6=36

- Stormswan

and the final answer is..........69 :) am I right?

- Hitaro9

Oh sorry. Umm, where are you seeinga 6x6 triangle?

- Hitaro9

Oh. Keep in mind that you only look at the bases of a right triangle for its area. So a triangle that looks like this
http://puu.sh/ie16I/1549b72568.png
Has bases 1x6, so it's
6x1 div by 2= 3

- Hitaro9

Other than that I think it looks good

- Hitaro9

Should be 54 rather than 69

- Stormswan

i thought it was 56? not 54...

- Hitaro9

Oh maybe I added wrong 1 sec

- Hitaro9

36+6+9+3
36+6 = 42
42+9 = 51
51+3=54

- Hitaro9

If I'm making some dumb arithmetic mistake feel free to point it out

- Stormswan

ohhh okay, sorry nvm

- Stormswan

Thank you for your help!!

- Hitaro9

Okay. Any questions about what we did? Does each step make sense?

- anonymous

Sum the area of triangle ABF and trapezoid EBCD.
Refer to the attachment.

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