Calculate the area of a rectangle his length exceeds 3 units than his width, and his width equals \( x \) length units.

To calculate the area of the rectangle, you can use the formula for the area \( A \) of a rectangle, which is \( A = \text{length} \times \text{width} \). Given that the width is \( x \) and the length exceeds the width by 3 units, the length can be expressed as \( x + 3 \). Therefore, the area of the rectangle becomes: \[ A = (x + 3) \cdot x = x^2 + 3x \] Now you have a quadratic expression for the area in terms of \( x \)! Additionally, knowing the formula can help you realize how changing the width directly affects the area. For example, if you increase the width, both the area and length increase, influencing real-world scenarios like plotting land or designing spaces. Always keep in mind that the relationship between dimensions can lead to surprises in calculations!