Answer
Answer 'c' is the correct dimensions.
Work Step by Step
Let $x$ inches be the width of the rectangle.
Since the length is twice the width, length = $2x$.
For the perimeter of the rectangle,
$2(x + 2x) = 24$
$6x = 24$
$x = 4$
The dimension of the rectangle is 4 inches by 8 inches.
Answer 'c' is the correct dimensions.