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

perimeter would be affected by the same scale factor, in this case 2. perimeter only has 1 dimension.

Answer: increas by a factor of 2

Answer 2

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