Question

Find the area. Simplify your answer.
3x+5
2x–7

Answer 1

To find the area, we need to identify the shape formed by the given expressions. Since it looks like you're listing two linear expressions, I will assume you want to calculate the area of a rectangle where these two expressions represent the lengths of the sides.

Let's say:
- The length is given by \(3x + 5\)
- The width is given by \(2x - 7\)

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

\[
A = \text{length} \times \text{width}
\]

So here, we can write:

\[
A = (3x + 5)(2x - 7)
\]

Now we will expand this expression:

\[
A = 3x(2x) + 3x(-7) + 5(2x) + 5(-7)
\]

Calculating each term:

- \(3x \cdot 2x = 6x^2\)
- \(3x \cdot -7 = -21x\)
- \(5 \cdot 2x = 10x\)
- \(5 \cdot -7 = -35\)

Now, combining these terms:

\[
A = 6x^2 - 21x + 10x - 35
\]
\[
A = 6x^2 - 11x - 35
\]

Thus, the area \(A\) is:

\[
A = 6x^2 - 11x - 35
\]

This expression is simplified. If you need to factor it further, it could be done as well, but often the polynomial form is acceptable.