The smallest square in the middle is 1, and its side length is 1.
The side length of the square in the upper left corner is 2x- 1.
The side length of the square in the upper right corner is 2x- 1- 1=2x-2.
The side length of the square in the lower right corner is x+ 1, which shows that the side length of the square in the upper right corner is also equal to x+2.
Therefore, the equation is obtained:
2x-2=x+2
x=4
The length of the rectangle =x+x+(x+ 1)= 13.
The width of the rectangle = x+(2x-1) =11.
Area of rectangle =13 *11=143.