A rectangular shamba has a width of x meters. The length is 2 meters longer than the width. Write expressions for the length and the area.

Step 1: Define the width and length.
The width of the rectangular shamba is given as $x$ meters.
The length is stated to be 2 meters longer than the width.

a) To write an expression for the length:
Length = Width + 2

$$L = x + 2$$

The expression for the length is $\boxed{(x+2) \text{ m}}$.

b) To write an expression for the area:
The area of a rectangle is given by the formula: Area = Length $\times$ Width.
Substitute the expressions for length and width:

$$A = (x+2) \times x$$ $$A = x(x+2)$$ $$A = x^2 + 2x$$

The expression for the area is $\boxed{(x^2 + 2x) \text{ m}^2}$.