https://file.aiquickdraw.com/mathbot/file/1725393639055utx38qg3.jpg

The problem in the image asks to find the area of a rectangle and express it as a polynomial in standard form.

### Given:
- The length of the rectangle is \(5x - 5\).
- The width of the rectangle is 3.
- The variable \(x = 1\) is mentioned, which might be for checking purposes, but it's not needed to find the polynomial.

### Solution:
The area \(A\) of a rectangle is given by the formula:
\[
A = \text{length} \times \text{width}
\]

Substitute the given expressions:
\[
A = (5x - 5) \times 3
\]

Now, distribute the 3 to both terms inside the parentheses:
\[
A = 3(5x) - 3(5)
\]
\[
A = 15x - 15
\]

Thus, the area of the rectangle, expressed as a polynomial in standard form, is:
\[
\boxed{15x - 15}
\]

Would you like to see more details about this calculation, or do you have any questions?

Here are 5 related questions to expand your understanding:
1. What would be the area if \(x = 2\)?
2. How does the area change as \(x\) increases?
3. What are the length and width of the rectangle when \(x = 0\)?
4. How would the polynomial change if the width was \(4\) instead of \(3\)?
5. How do you find the area of a rectangle when given algebraic expressions for length and width?

**Tip:** To simplify expressions like this, always distribute multiplication over addition or subtraction carefully.

Find the area of the rectangle. Write the area as a polynomial expression in standard form. Given: Length = 5x - 5, Width = 3, where x = 1.

Learn how to find the area of a rectangle given its dimensions as algebraic expressions. This problem involves multiplying polynomials and simplifying them to standard form. Suitable for students in Grades 8-10.

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