Question

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

Answer 1

The correct answer is third option

a(x) = 2x² + 9x + 4

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

Answer 2

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

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