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anonymous

  • one year ago

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

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    @ganeshie8

  3. ganeshie8
    • one year ago
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    split that into simpler shapes : triangles, trapezoids

  4. anonymous
    • one year ago
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    thank you, but how do you find the area of each of the shapes I split it into?

  5. ganeshie8
    • one year ago
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    |dw:1436196747018:dw|

  6. ganeshie8
    • one year ago
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    recall the area of trapezoid formula |dw:1436196960783:dw|

  7. ganeshie8
    • one year ago
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    observe that the shape1 looks like a trapezoid can you eyeball the two bases and height of it ?

  8. anonymous
    • one year ago
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    Would the height be 6 and the base be 7?

  9. ganeshie8
    • one year ago
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    |dw:1436197151745:dw|

  10. ganeshie8
    • one year ago
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    Yes, top base = 7 bottom base = 6 height = 6 plug them in the formula

  11. ganeshie8
    • one year ago
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    |dw:1436197274087:dw|

  12. anonymous
    • one year ago
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    So the area of shape 1 would be 39

  13. ganeshie8
    • one year ago
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    Yes! next look at shape 2

  14. ganeshie8
    • one year ago
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    remember area of triangle formula ?

  15. anonymous
    • one year ago
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    Isnt it \[\frac{ 1 }{ 2 } base \times height\]

  16. ganeshie8
    • one year ago
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    Yes, work it

  17. anonymous
    • one year ago
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    base is 3 and height is 3 so half of nine is 3

  18. ganeshie8
    • one year ago
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    are you really sure half of nine is 3 ?

  19. ganeshie8
    • one year ago
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    9/2 = ?

  20. anonymous
    • one year ago
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    4.5?

  21. anonymous
    • one year ago
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    oh oops, yes 4.5.

  22. anonymous
    • one year ago
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    there u go ;)

  23. anonymous
    • one year ago
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    Thanks (:

  24. ganeshie8
    • one year ago
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    good, what about shape3 base = ? height = ?

  25. ganeshie8
    • one year ago
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    |dw:1436197897447:dw|

  26. anonymous
    • one year ago
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    The height would be 3 the base would be 9

  27. anonymous
    • one year ago
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    half of that is 13.5

  28. ganeshie8
    • one year ago
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    Excellent!

  29. anonymous
    • one year ago
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    So I just add all those and that would be the area?

  30. ganeshie8
    • one year ago
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    Yes

  31. anonymous
    • one year ago
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    Thank you so much!!

  32. ganeshie8
    • one year ago
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    Area of total shape = `area of shape1` + `area of shape2` + `area of shape3`

  33. ganeshie8
    • one year ago
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    = `39` + `4.5` + `13.5` ?

  34. anonymous
    • one year ago
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    So the total area is 57

  35. ganeshie8
    • one year ago
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    Yep! good job !!

  36. anonymous
    • one year ago
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    Thank you, have a great day!

  37. ganeshie8
    • one year ago
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    yw, you2

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