Find the area of the following shape. You must show all work to receive credit.

- anonymous

Find the area of the following shape. You must show all work to receive credit.

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- anonymous

##### 1 Attachment

- anonymous

@jim_thompson5910

- jim_thompson5910

did you try breaking it up into rectangles and triangles?

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## More answers

- anonymous

Yes, I was trying to break it up into triangles, and I've determined that there's four but I wasn't sure.

- jim_thompson5910

here is one way

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- anonymous

Alright, that helps a lot more.

- anonymous

Do we have to find the area of all of them now?

- jim_thompson5910

yes, then add up the individual areas

- anonymous

Without numbers on the shape, how do I solve for the area?

- jim_thompson5910

use the grid to figure out the base and height for each rectangle or triangle
each tick is 1 unit

- jim_thompson5910

for example, the largest rectangle in my drawing is 5x5 since there are 5 grid ticks along the width and height

- anonymous

I still don't understand.

- anonymous

Like I see what you mean, but i still don't know how to get the area.

- jim_thompson5910

that rectangle would have an area of L*W = 5*5 = 25, agreed?

- anonymous

Yes.

- anonymous

So the one next to it would be 9?

- anonymous

Would the areas be 25, 9, 4, 4?

- jim_thompson5910

|dw:1441691000027:dw|

- jim_thompson5910

ok we already have this 5x5 piece
|dw:1441691100105:dw|

- jim_thompson5910

what's the area of this piece?
|dw:1441691117214:dw|

- anonymous

I got 9 for that one.

- anonymous

Because there was 3 grid ticks

- jim_thompson5910

I see that it's a 2x3 rectangle, try again
|dw:1441691253886:dw|

- anonymous

So, 6?

- jim_thompson5910

yes

- anonymous

Alright. :)

- jim_thompson5910

ok how about this rectangle?
|dw:1441691305662:dw|

- anonymous

Was I right for the other two?

- anonymous

I got 4 for that one.

- jim_thompson5910

nope it's not 4

- anonymous

Is it just 2?

- jim_thompson5910

yep 2

- anonymous

And the other one is 2 also?

- jim_thompson5910

|dw:1441691447505:dw|

- jim_thompson5910

fill out the drawing with the other areas you got

- anonymous

Were we just doing the rectangles?

- jim_thompson5910

we also need to do the triangles too

- anonymous

|dw:1441691342927:dw|

- jim_thompson5910

the ones I'm crossing out are the ones that are incorrect
|dw:1441691610965:dw|

- anonymous

4?

- jim_thompson5910

|dw:1441691644765:dw|