gabbyalicorn
  • gabbyalicorn
What is the surface area of the figure? A. 408 ft2 B. 458 ft2 C. 545 ft2 D. 720 ft2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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gabbyalicorn
  • gabbyalicorn
https://www.dropbox.com/s/pf2mpkxygxodzew/Screenshot%202015-06-06%2015.09.21.png?dl=0
Michele_Laino
  • Michele_Laino
here, we have 2 polygons like this: |dw:1433628608805:dw|
gabbyalicorn
  • gabbyalicorn
ya

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Michele_Laino
  • Michele_Laino
now the area of that polygons is equal to the sum between the areas of these rectangles: |dw:1433628687622:dw|
Michele_Laino
  • Michele_Laino
namely area = 7*7+5*12=...
gabbyalicorn
  • gabbyalicorn
648
Michele_Laino
  • Michele_Laino
|dw:1433628731560:dw|
Michele_Laino
  • Michele_Laino
we have: area = 49+60=...?
gabbyalicorn
  • gabbyalicorn
109
Michele_Laino
  • Michele_Laino
ok!
Michele_Laino
  • Michele_Laino
next we have a rectangle like this: |dw:1433628823525:dw| and its area is: 5*12=...
gabbyalicorn
  • gabbyalicorn
60
Michele_Laino
  • Michele_Laino
ok!
gabbyalicorn
  • gabbyalicorn
gabbyalicorn
  • gabbyalicorn
109 x 60?
Michele_Laino
  • Michele_Laino
now we have a rectangle like this: |dw:1433628877197:dw| and its area is: 5*7=...
gabbyalicorn
  • gabbyalicorn
35
Michele_Laino
  • Michele_Laino
ok!
Michele_Laino
  • Michele_Laino
next we have another rectangle like this: |dw:1433628948365:dw| and its area is: 5*7=...
gabbyalicorn
  • gabbyalicorn
35
Michele_Laino
  • Michele_Laino
correct!
gabbyalicorn
  • gabbyalicorn
yippie doodles!
Michele_Laino
  • Michele_Laino
finally we have a rectangle like this: |dw:1433629114144:dw| more precisely it is a square. Its area is: 5*5=...
gabbyalicorn
  • gabbyalicorn
25
Michele_Laino
  • Michele_Laino
ok! So the total surface is: 109+109+60+35+35+25=...
gabbyalicorn
  • gabbyalicorn
375
Michele_Laino
  • Michele_Laino
yes! please wait I check my computations
gabbyalicorn
  • gabbyalicorn
kk, sorry
Michele_Laino
  • Michele_Laino
I forgot 2 rectangles
Michele_Laino
  • Michele_Laino
we have one rectangles like this (the base of your prism): |dw:1433629412234:dw|
Michele_Laino
  • Michele_Laino
and its area is: 12*5=...
gabbyalicorn
  • gabbyalicorn
60
Michele_Laino
  • Michele_Laino
ok!
Michele_Laino
  • Michele_Laino
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=...
gabbyalicorn
  • gabbyalicorn
25
Michele_Laino
  • Michele_Laino
great!
Michele_Laino
  • Michele_Laino
so the total surface of your prism is: 109+109+60+35+35+25+60+25=...
gabbyalicorn
  • gabbyalicorn
458 B
Michele_Laino
  • Michele_Laino
that's right!
gabbyalicorn
  • gabbyalicorn
:D Thank you so much for helping me words cant describe how thankful i am!
Michele_Laino
  • Michele_Laino
:D :D

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