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

To find the area of a parallelogram, the formula used is the base (length) multiplied by the height. In this case, the length is represented as (x + 4) and the height as (x + 3).

To calculate the area, the multiplication is carried out as follows:

[

\text{Area} = \text{length} \times \text{height} = (x + 4)(x + 3)

]

Applying the distributive property (also commonly known as the FOIL method for binomials), we multiply each term in the first binomial by each term in the second binomial:

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

2. (x \cdot 3 = 3x)

3. (4 \cdot x = 4x)

4. (4 \cdot 3 = 12)

Next, we combine all the terms from these calculations:

[

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

]

Thus, the area of the parallelogram can be expressed as:

[

A