Question

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 four
decrease by a factor of one-fourth
increase by a factor of two
decrease by a factor of one-half

Answer 1

increase by a factor of two

Explanation:

Given that dimension of a parallelogram are increased by a factor of 2.

Let the sides of the parallelogram be l and w.

Then perimeter = 2(l+w)

When each side is increased by a scale factor of 2, we get new dimensions as

2l and 2w

Hence new perimeter = 2(2l+2w) = 4(l+w)

= twice as old perimeter

Hence increase by a factor of two

Answer 2

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