The length of a rectangle is given by the function l (x) = 2x+1, and the width of the rectangle is given by the function w (x) = x+4.

Which function defines the area of the rectangle?

Hint: A=l⋅w

a (x) = 2x^2+5x+4

a (x) = 3x+5

a (x) = 2x^2+9x+4

a (x) = x-3

The correct answer is third option

a (x) = 2x² + 9x + 4

Step-by-step explanation:

It is given that, the length of a rectangle is given by the function l (x) = 2x+1, and the width of the rectangle is given by the function w (x) = x+4.

To find the area of the rectangle

Area of rectangle = Length * Breadth

a (x) = l (x) * w (x)

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

= 2x² + 8x + x + 4

= 2x² + 9x + 4

The correct answer is third option

a (x) = 2x² + 9x + 4

a (x) = 2x^2+9x+4

Step-by-step explanation:

We have been given the length and width, as well as the formula to find the area:

Length: 2x + 1

Width: x + 4

A = l * w

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

2x^2 + 8x + x + 4

We can add like terms now:

2x^2 + 9x + 4

Our area is 2x^2 + 9x + 4

Our answer would be a (x) = 2x^2+9x+4