Let us assume the width of the rectangle = x
Then
The length of the rectangle = 2x
The perimeter of the rectangle = 24 inches
We know the formula of the perimeter of a rectangle is
Perimeter = 2 (length + Breadth)
24 = 2 (2x + x)
24 = 2 * 3x
24 = 6x
x = 24/6
= 4
So the width of the rectangle = 4 inches
length of the rectangle = 2x
= 2 * 4 inches
= 8 inches
Now
The Area of the rectangle = Width * Length
= 4 * 8 inches^2
= 32 inches ^2
So the area of the rectangle is 32 square inches. I hope i have helped you.