Question

The dimensions of a parallelogram are reduced by half of its original dimensions. Determine how the perimeter of the parallelogram will be affected by the change in the dimensions of the original parallelogram..

reduced by a factor of one-fourth
reduced by a factor of one-half
increased by a factor of two
increased by a factor of four

Answer 1

reduced by a factor of one-half ~ my friend

Answer 2

reduced by a factor of one-half

Explanation:

Let one side of the parallelogram be 'a'

and the other side of the parallelogram is 'b'

Therefore the perimeter of the parallelogram given by,

P = 2 ( a + b )

Now when the dimensions are reduced to half of its original dimensions.

Then,

one side of the parallelogram be a/2

and the other side of the parallelogram is b/2

Now the new perimeter will be

P = 2 ( a/2 + b/2 )

P = 2 { (a + b)/2 }

P = a + b

Thus this clearly shows that the perimeter is reduced to one-half of the original perimeter when the dimensions are reduced by half.