The image contains a question about calculating the area of a rectangle with dimensions given in algebraic expressions. Let’s solve it:

The rectangle's dimensions are:

• Length: $x + 5$
• Width: $4x - 3$

Step 1: Formula for the area of a rectangle

The area $A$ of a rectangle is given by: $A = \text{length} \times \text{width}$

Step 2: Substituting the expressions

$A = (x + 5)(4x - 3)$

Step 3: Expanding the expression

Using distributive property: $A = x(4x - 3) + 5(4x - 3)$ $A = 4x^2 - 3x + 20x - 15$ $A = 4x^2 + 17x - 15$

Final Answer:

The area of the rectangle is: $\boxed{4x^2 + 17x - 15}$

Would you like further clarification or a breakdown of the expansion process?

Here are 5 related questions to deepen your understanding:

1. How do you determine the area of a rectangle with polynomial dimensions?
2. What does the distributive property mean in algebra?
3. Can the expression $4x^2 + 17x - 15$ be factored further?
4. How would the problem change if one dimension were a constant?
5. What is the importance of combining like terms when simplifying?

Tip: Always organize polynomial terms in descending order for clarity.