anonymous
  • anonymous
The height of an equilateral rectangular prism decreases by two units. The new lateral area is less than the original by how much? Answer two times the area of the base two times the perimeter of the base two less than the the area of the base two less than the perimeter of the base I think it is C but im not sure
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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darthsid
  • darthsid
What's the formula for the area of the prism?
anonymous
  • anonymous
mmm im not sure
anonymous
  • anonymous
b*h

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darthsid
  • darthsid
|dw:1331785747771:dw|
darthsid
  • darthsid
That's a rectangular prism. The lateral surface area is the area of the 4 sides, not including the base and the top.
darthsid
  • darthsid
so the formula for the lateral surface area is Perimeter of base X height
darthsid
  • darthsid
Now, if the new height is decreased by two, so it is h-2 so the area is : P x (h-2)
darthsid
  • darthsid
are you understanding so far?
anonymous
  • anonymous
yessss
darthsid
  • darthsid
\[P \times ( h-2) = P \times h - P \times 2\]
anonymous
  • anonymous
so it would be D ?
darthsid
  • darthsid
But, P x h is the area of the original prism! the above equation basically says: New Area = Old Area - P x 2
darthsid
  • darthsid
No, P x 2 means Perimeter times 2
anonymous
  • anonymous
b?
darthsid
  • darthsid
yeah, it's B
anonymous
  • anonymous
thank you once again : )
darthsid
  • darthsid
Glad to help, good luck!

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