SOLUTION: Are THE FOLLOWING STATEMENTS, ALWAYS, SOMETIMES OR NEVER TRUE. Please can you give examples If you double the edges the surface area doubles? If you double the sides of a r

Algebra ->  Circles -> SOLUTION: Are THE FOLLOWING STATEMENTS, ALWAYS, SOMETIMES OR NEVER TRUE. Please can you give examples If you double the edges the surface area doubles? If you double the sides of a r      Log On


   



Question 979245: Are THE FOLLOWING STATEMENTS, ALWAYS, SOMETIMES OR NEVER TRUE. Please can you give examples

If you double the edges the surface area doubles?
If you double the sides of a rectangle the area doubles?
If you double the sides of a rectangle the perimeter doubles?
Help would be very much appreciated.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If you double the edges the surface area doubles?
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Never.
For a rectangle:
Area = L*W
2L*2W = 4L*W = 4 times the area, not 2 times.
If you mean a solid, eg a cube, it's the same answer.
SA = 6s^2
6*(2s)^2 = 24s^2 = 4 times the SA.
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If you double the sides of a rectangle the area doubles?
Same as above.
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If you double the sides of a rectangle the perimeter doubles?
Always.
P = 2*(W + L)
2*(2W + 2L) = 4*(W + L) = 2*p
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Area is in square units, eg, sq cms, sq feet, etc.
The sides are multiplied, so z*sides --> z^2*area.
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Perimeter is only added, and units are cms, feet etc.
z*sides --> z*perimeter