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

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

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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split that into simpler shapes : triangles, trapezoids

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thank you, but how do you find the area of each of the shapes I split it into?
|dw:1436196747018:dw|
recall the area of trapezoid formula |dw:1436196960783:dw|
observe that the shape1 looks like a trapezoid can you eyeball the two bases and height of it ?
Would the height be 6 and the base be 7?
|dw:1436197151745:dw|
Yes, top base = 7 bottom base = 6 height = 6 plug them in the formula
|dw:1436197274087:dw|
So the area of shape 1 would be 39
Yes! next look at shape 2
remember area of triangle formula ?
Isnt it \[\frac{ 1 }{ 2 } base \times height\]
Yes, work it
base is 3 and height is 3 so half of nine is 3
are you really sure half of nine is 3 ?
9/2 = ?
4.5?
oh oops, yes 4.5.
there u go ;)
Thanks (:
good, what about shape3 base = ? height = ?
|dw:1436197897447:dw|
The height would be 3 the base would be 9
half of that is 13.5
Excellent!
So I just add all those and that would be the area?
Yes
Thank you so much!!
Area of total shape = `area of shape1` + `area of shape2` + `area of shape3`
= `39` + `4.5` + `13.5` ?
So the total area is 57
Yep! good job !!
Thank you, have a great day!
yw, you2

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