https://file.aiquickdraw.com/mathbot/file/1725914289309o4u0lfr4.jpg

The problem asks to find a simplified expression for the area of the rectangle shown in the image. The dimensions of the rectangle are given as:

- Length = \(2x + 1.5\)
- Width = \(2.5\)

The area \(A\) of a rectangle is calculated using the formula:

\[
A = \text{Length} \times \text{Width}
\]

Substitute the given values:

\[
A = (2x + 1.5) \times 2.5
\]

Now, let's distribute the \(2.5\) to both terms inside the parentheses:

\[
A = 2.5 \times 2x + 2.5 \times 1.5
\]

Calculating each term:

\[
A = 5x + 3.75
\]

Therefore, the simplified expression for the area of the rectangle is \(5x + 3.75\).

The correct answer is **d. 5x + 3.75**.

Would you like a detailed explanation of any step? Here are some related questions:

1. How do you distribute multiplication over addition in algebraic expressions?
2. What are other common formulas for calculating the area of geometric shapes?
3. Can you explain why the distributive property is important in algebra?
4. What are real-life applications of calculating the area of rectangles?
5. How can expressions involving variables be simplified further?

**Tip:** When simplifying algebraic expressions, always carefully distribute multiplication across all terms inside parentheses.

Which gives a simplified expression for the area of the rectangle? The dimensions of the rectangle are 2x + 1.5 for the length and 2.5 for the width.

Learn how to find the simplified expression for the area of a rectangle with dimensions 2x + 1.5 and 2.5. This solution involves algebraic distribution and calculating the area using the formula Length × Width. Suitable for students in Grades 6-8.

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