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anonymous
 one year ago
Describe a method you can use to find the area of the following shape. Provide specific details in your answer, including coordinates and descriptions of shapes used. Then, find the actual area of the figure.
anonymous
 one year ago
Describe a method you can use to find the area of the following shape. Provide specific details in your answer, including coordinates and descriptions of shapes used. Then, find the actual area of the figure.

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zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Hey :) So umm.. how bout break it up into some more manageable shapes?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay, how should we start doing that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Are we wanting to divide it into 3 shapes or just however many we can make ?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Well I'm thinking like this maybe:dw:1440473387371:dwbecause rectangles and right triangles are really easy to deal with :)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Do you understand how to find the coordinates of each point?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Or rather I should say: Do you understand how to use the coordinates to find the side lengths?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay(: So what is our first step? sorry im really not good at this. I think so isn't that do you count like up and down along y axis and and left to right on x axis ?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1`Provide specific details in your answer, including coordinates and descriptions of shapes used. Then, find the actual area of the figure.` Yes, counting the squares is a much better way of doing it, but it looks like they want us to include coordinates and all of that business :(

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ughh :( okay so then how do we do that ?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440473666198:dwDo you understand how I came up with these two coordinates?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0For B you counted up 8 and counted left 11 units For C you counted left 11 units but the zero you didnt move at all ?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Yes, those distances. But your 'directions' seem backwards lol :) For B you count 8DOWN and 11RIGHT. We're starting from the point (0,0) and going towards B. I think you did it the other way around.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Oh boy this is gonna be tricky... I wonder if there is a simpler way we can chop this up...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh your right i did my bad lol(: Hmmm could we do AC and that be a right triangle ? would that be an easier way to chop it up ?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440474034288:dwHmm prolly not :) that leaves us with a nasty shape here

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Are you comfortable with trapezoids?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440474081780:dwCause maybe this would be easier

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0kinda , im deffinetly gonna need help though

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So does that mean what we did with B and C earlier...forget that ?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1It'll end up saving us some steps since we don't have to find all these little shapes in the middle. Just three now. To find the area of a trapezoid, we multiply the base length by the average of the side/height lengths.\[\large\rm A=b\cdot\frac{h_1+h_2}{2}\] How long is side BC?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I thought 11 units , correct?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440474292576:dwI'm just gonna label all of the points that we'll need.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so would the height be 8 and 0 for BC

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1The height is the distance from 0 to 8. That ends up being a distance of 8 if you count the boxes, ya?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes your right, im just trying to plug in the h1 and h2 too quick lol sorry

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440474556848:dwHow bout from D down the bottom? You're at 3 and you're going down to 8, how many boxes between those?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Make sure you're using the original image :) Mine kinda stinks since you can't count the boxes lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay(: Would that be 5?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440474733035:dwGood :O Then the base? Looks like we're going from x=6 over to x=11

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would the base be 6?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1We're going from 6 to 11. You can do subtraction if you feel more comfortable with that. 116 = 5 So a length of 5 across the bottom.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay i must have counted wrong, so now i plug in the numbers?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\large\rm A=b\cdot\frac{h_1+h_2}{2}\qquad\to\qquad A_1=5\cdot\frac{5+8}{2}\]Plug all the information in! :) What do we get for the area of our first shape? Yah sorry I stole some of the fun there, just trying to move this along hehe.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Haha its okay(: so then it would be 13/2 = 6.5 then 6.5 X5 = 32.5 SO would our answer be 32.5?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440475130927:dwOk great! We're 1/3 done lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Great(: ! So now do we do the same thing to the other shape ?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Let's ignore the coordinates for now. Just use those in your explanation maybe :pdw:1440475216912:dw

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Yes, let's work on this trapezoid in the bottom left here. Can you figure out the side lengths by counting the boxes?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That would be 2 if your counting up and if your counting left then that would be 5

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Hmm 5 doesn't sound quite right.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Then im confused i counted to the F and it was 5 units

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh i see my mistake, i moissed one, my bad :/

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1So we have our information again, good. \(\large\rm h_1=1,\quad h_2=6,\quad b=2\) plug it in to find the area of your second shape.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0One question first, how did you get the 1?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1So that length is 1 from 5 to 6, ya? :o

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh yeah your right , duhhh(: so my answer would be 7 correct ?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440475843531:dwMmmmmm k good. let's try to figure out this last one. Luckily we have a free side already! Since this trapezoid shares a side with the bottom one, we know that the long edge is still 6.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1What about the other lengths? :o

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well from D to E that would be 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the other length would be 3

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440476101788:dwOk good! :)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1The h's should be across from one another.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Im sorry , for the confusion im just trying to understand .. so the answer would be 12?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440476358788:dwGood. And the total area would be the sum of those three areas. \(\large\rm A=A_1+A_2+A_3\)