Q:

If the dimensions of a parallelogram are increased by a factor of two, how will the perimeter of the object be affected?increase by a factor of fourdecrease by a factor of one-fourthincrease by a factor of twodecrease by a factor of one-half

Accepted Solution

A:
Let
x------------> length major side  parallelogram
y------------> length minor side  parallelogram
we know that 
[perimeter]=(2x+2y)
Po=(2x+2y)

If the dimensions of a parallelogram are increased by a factor of two
then
x1=2x
y1=2y
P1=2x1+2y1----------> 2*[2x]+2*[2y]--------> P1=2*[2x+2y]
P1=2*Po

the answer is 
the new perimeter increase by a factor of two