anonymous
  • anonymous
Find the area of the following shape. You must show all work to receive credit.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
@ganeshie8
ganeshie8
  • ganeshie8
split that into simpler shapes : triangles, trapezoids

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More answers

anonymous
  • anonymous
thank you, but how do you find the area of each of the shapes I split it into?
ganeshie8
  • ganeshie8
|dw:1436196747018:dw|
ganeshie8
  • ganeshie8
recall the area of trapezoid formula |dw:1436196960783:dw|
ganeshie8
  • ganeshie8
observe that the shape1 looks like a trapezoid can you eyeball the two bases and height of it ?
anonymous
  • anonymous
Would the height be 6 and the base be 7?
ganeshie8
  • ganeshie8
|dw:1436197151745:dw|
ganeshie8
  • ganeshie8
Yes, top base = 7 bottom base = 6 height = 6 plug them in the formula
ganeshie8
  • ganeshie8
|dw:1436197274087:dw|
anonymous
  • anonymous
So the area of shape 1 would be 39
ganeshie8
  • ganeshie8
Yes! next look at shape 2
ganeshie8
  • ganeshie8
remember area of triangle formula ?
anonymous
  • anonymous
Isnt it \[\frac{ 1 }{ 2 } base \times height\]
ganeshie8
  • ganeshie8
Yes, work it
anonymous
  • anonymous
base is 3 and height is 3 so half of nine is 3
ganeshie8
  • ganeshie8
are you really sure half of nine is 3 ?
ganeshie8
  • ganeshie8
9/2 = ?
anonymous
  • anonymous
4.5?
anonymous
  • anonymous
oh oops, yes 4.5.
anonymous
  • anonymous
there u go ;)
anonymous
  • anonymous
Thanks (:
ganeshie8
  • ganeshie8
good, what about shape3 base = ? height = ?
ganeshie8
  • ganeshie8
|dw:1436197897447:dw|
anonymous
  • anonymous
The height would be 3 the base would be 9
anonymous
  • anonymous
half of that is 13.5
ganeshie8
  • ganeshie8
Excellent!
anonymous
  • anonymous
So I just add all those and that would be the area?
ganeshie8
  • ganeshie8
Yes
anonymous
  • anonymous
Thank you so much!!
ganeshie8
  • ganeshie8
Area of total shape = `area of shape1` + `area of shape2` + `area of shape3`
ganeshie8
  • ganeshie8
= `39` + `4.5` + `13.5` ?
anonymous
  • anonymous
So the total area is 57
ganeshie8
  • ganeshie8
Yep! good job !!
anonymous
  • anonymous
Thank you, have a great day!
ganeshie8
  • ganeshie8
yw, you2

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