Respuesta :

The length of the enlarged garden is x + 3 + 8 feet, or x + 11 feet.  Dividing this into the given area  x^2 + 20x + 99 produces the quotient x + 9.

The dimensions of the enlarged garden are (x+11) by (x+9).  Note that mult. these 2 factors together produces x^2 + 20x + 99, as expected.

Length of enlarged garden is x+11, whereas the width is x+9.  Thus, the difference between length and width of the enlarged garden is 2 feet.