The perimeter and area of the shape are 6x + 8x^2y units and 52x^3y square units respectively.
The perimeter of a rectangke is the sum of all the asides of the rectangle. The formula for calculating the area of a reactangle is expressed as:
P = 2(l + b)
Substituting
P = 2(13x + 4x^2y)
P = 26x + 8x^2y
For the area
Area = length * width
Area = 13x(4x^2y)
Area = 52x^3y
Hence the perimeter and area of the shape are 6x + 8x^2y units and 52x^3y square units respectively.