Question

Pls help Which function models the area of a rectangle with side lengths of 2x – 4 units and x + 1 units? What is the area when x = 3?

Answer 1

Explanation:

The area A of a rectangle is given by the formula:

A = length × width

In this case, the length is 2x - 4 units and the width is x + 1 units. So the function that models the area of the rectangle is:

A(x) = (2x - 4)(x + 1)

Expanding this expression, we get:

A(x) = 2x^2 - 2x - 4x + 4

A(x) = 2x^2 - 6x + 4

To find the area when x = 3, we can substitute x = 3 into the function:

A(3) = 2(3)^2 - 6(3) + 4

A(3) = 18 - 18 + 4

A(3) = 4

Therefore, when x = 3, the area of the rectangle is 4 square units.