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The problem provided shows a parallelogram, and it asks you to find the area and simplify your answer. The parallelogram's base is given as \(2x\), and the height is given as \(x + 3\).

To find the area of a parallelogram, you use the formula:

\[
\text{Area} = \text{Base} \times \text{Height}
\]

Substituting the values provided:

\[
\text{Area} = (2x) \times (x + 3)
\]

Now, distribute \(2x\) across the terms inside the parentheses:

\[
\text{Area} = 2x \cdot x + 2x \cdot 3 = 2x^2 + 6x
\]

So, the simplified expression for the area of the parallelogram is:

\[
\text{Area} = 2x^2 + 6x
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you find the perimeter of this parallelogram?
2. What would the area be if \(x = 4\)?
3. How does changing the base to \(3x\) affect the area?
4. What is the derivative of the area function \(2x^2 + 6x\) with respect to \(x\)?
5. How would you factorize the expression \(2x^2 + 6x\)?

**Tip:** When dealing with algebraic expressions, always look for opportunities to simplify by factoring, especially when solving equations or finding roots.

Find the area of the parallelogram with base 2x and height x + 3. Simplify your answer.

Learn how to calculate the area of a parallelogram when the base and height are given as algebraic expressions. This example uses the formula Area = Base × Height, with base 2x and height x + 3. The solution involves distributing and simplifying the expression.

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