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gabbyalicorn

  • one year ago

What is the surface area of the figure? A. 408 ft2 B. 458 ft2 C. 545 ft2 D. 720 ft2

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  1. gabbyalicorn
    • one year ago
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    https://www.dropbox.com/s/pf2mpkxygxodzew/Screenshot%202015-06-06%2015.09.21.png?dl=0

  2. Michele_Laino
    • one year ago
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    here, we have 2 polygons like this: |dw:1433628608805:dw|

  3. gabbyalicorn
    • one year ago
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    ya

  4. Michele_Laino
    • one year ago
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    now the area of that polygons is equal to the sum between the areas of these rectangles: |dw:1433628687622:dw|

  5. Michele_Laino
    • one year ago
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    namely area = 7*7+5*12=...

  6. gabbyalicorn
    • one year ago
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    648

  7. Michele_Laino
    • one year ago
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    |dw:1433628731560:dw|

  8. Michele_Laino
    • one year ago
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    we have: area = 49+60=...?

  9. gabbyalicorn
    • one year ago
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    109

  10. Michele_Laino
    • one year ago
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    ok!

  11. Michele_Laino
    • one year ago
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    next we have a rectangle like this: |dw:1433628823525:dw| and its area is: 5*12=...

  12. gabbyalicorn
    • one year ago
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    60

  13. Michele_Laino
    • one year ago
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    ok!

  14. gabbyalicorn
    • one year ago
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  15. gabbyalicorn
    • one year ago
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    109 x 60?

  16. Michele_Laino
    • one year ago
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    now we have a rectangle like this: |dw:1433628877197:dw| and its area is: 5*7=...

  17. gabbyalicorn
    • one year ago
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    35

  18. Michele_Laino
    • one year ago
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    ok!

  19. Michele_Laino
    • one year ago
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    next we have another rectangle like this: |dw:1433628948365:dw| and its area is: 5*7=...

  20. gabbyalicorn
    • one year ago
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    35

  21. Michele_Laino
    • one year ago
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    correct!

  22. gabbyalicorn
    • one year ago
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    yippie doodles!

  23. Michele_Laino
    • one year ago
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    finally we have a rectangle like this: |dw:1433629114144:dw| more precisely it is a square. Its area is: 5*5=...

  24. gabbyalicorn
    • one year ago
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    25

  25. Michele_Laino
    • one year ago
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    ok! So the total surface is: 109+109+60+35+35+25=...

  26. gabbyalicorn
    • one year ago
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    375

  27. Michele_Laino
    • one year ago
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    yes! please wait I check my computations

  28. gabbyalicorn
    • one year ago
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    kk, sorry

  29. Michele_Laino
    • one year ago
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    I forgot 2 rectangles

  30. Michele_Laino
    • one year ago
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    we have one rectangles like this (the base of your prism): |dw:1433629412234:dw|

  31. Michele_Laino
    • one year ago
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    and its area is: 12*5=...

  32. gabbyalicorn
    • one year ago
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    60

  33. Michele_Laino
    • one year ago
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    ok!

  34. Michele_Laino
    • one year ago
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    finally, we have one rectangle like this: |dw:1433629472041:dw| which is a square, namely the top of your prism. Its area is: 5*5=...

  35. gabbyalicorn
    • one year ago
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    25

  36. Michele_Laino
    • one year ago
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    great!

  37. Michele_Laino
    • one year ago
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    so the total surface of your prism is: 109+109+60+35+35+25+60+25=...

  38. gabbyalicorn
    • one year ago
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    458 B

  39. Michele_Laino
    • one year ago
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    that's right!

  40. gabbyalicorn
    • one year ago
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    :D Thank you so much for helping me words cant describe how thankful i am!

  41. Michele_Laino
    • one year ago
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    :D :D

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