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Which function models the area of a rectangle with side lengths of 2x - 4 units and x + 1 units?

( the 2x2 is 2x squared)

A. f(x) = 2x2 - 4x + 4
O
B. f(x) = 2x2 + 8x - 4
O
C. f(x) = 2x2 - 8x + 4
O
D. f(x) = 2x2 – 2x - 4

Respuesta :

Answer:

Area of rectangle, [tex]f(x)=2x^2-2x-4[/tex].

Step-by-step explanation:

We are given with side lengths of a rectangle are (2x-4) units and (x+1) units. It is required to find the area of rectangle.

The area of a rectangle is equal to the product of its length and breadth. It is given by :

[tex]A=L\times B[/tex]

Let us consider, L = (2x-4) units and B = (x+1) units

Plugging the side lengths in above formula:

[tex]A=(2x-4)\times (x+1)[/tex]

[tex]A=2x^2+2x-4x-4\\\\A=2x^2-2x-4[/tex]

So, the function that models the area of a rectangle is [tex]f(x)=2x^2-2x-4[/tex].

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