1. The problem states that we have a piece of land in the shape of a rectangle with length $x + 20$ meters and width $x + 5$ meters. 2. We are asked to form a function for the area $L$ of the land in square meters. 3. Recall that the area $L$ of a rectangle is given by the formula: $$L = \text{length} \times \text{width}$$ 4. Substitute the given expressions for length and width: $$L = (x + 20)(x + 5)$$ 5. Expand the product using distributive property: $$L = x \times x + x \times 5 + 20 \times x + 20 \times 5$$ $$L = x^2 + 5x + 20x + 100$$ 6. Combine like terms: $$L = x^2 + 25x + 100$$ 7. Therefore, the function for the area of the land is: $$L(x) = x^2 + 25x + 100$$ This function gives the area in square meters for any value of $x$.