What is the area of a parallelogram with length x + 4 and height x + 3?

What is the area of a parallelogram with length x + 4 and height x + 3?

• A. x² + 7x + 10
• B. x² + 7x + 12
• C. x² + 6x + 12
• D. x² + 5x + 8

Answer: (B)

To find the area of a parallelogram, you can use the formula: Area = Base × Height In this case, the base is represented by the expression \(x + 4\) and the height is represented by \(x + 3\). To calculate the area, you multiply these two expressions: \[(x + 4)(x + 3)\] Applying the distributive property (also known as the FOIL method for binomials), we get: 1. First: \(x \cdot x = x^2\) 2. Outer: \(x \cdot 3 = 3x\) 3. Inner: \(4 \cdot x = 4x\) 4. Last: \(4 \cdot 3 = 12\) Now, combine all these results: \[x^2 + 3x + 4x + 12 = x^2 + 7x + 12\] Thus, the area of the parallelogram is expressed as \(x^2 + 7x + 12\). This matches choice B, making it the correct answer. The other options do not have the correct combination of coefficients, leading to incorrect

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

Area = Base × Height

In this case, the base is represented by the expression (x + 4) and the height is represented by (x + 3).

To calculate the area, you multiply these two expressions:

[(x + 4)(x + 3)]

Applying the distributive property (also known as the FOIL method for binomials), we get:

1. First: (x \cdot x = x^2)

2. Outer: (x \cdot 3 = 3x)

3. Inner: (4 \cdot x = 4x)

4. Last: (4 \cdot 3 = 12)

Now, combine all these results:

[x^2 + 3x + 4x + 12 = x^2 + 7x + 12]

Thus, the area of the parallelogram is expressed as (x^2 + 7x + 12). This matches choice B, making it the correct answer. The other options do not have the correct combination of coefficients, leading to incorrect