Which function models the area of a rectangle with side lengths of 2x – 4 units and x + 1 units? ( the 2×2 is 2x squared) <

Question

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

( the 2×2 is 2x squared)

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

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Faith 1 month 2021-09-14T10:11:30+00:00 1 Answer 0

Answers ( )

    0
    2021-09-14T10:13:09+00:00

    Answer:

    Area of rectangle, f(x)=2x^2-2x-4.

    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 :

    A=L\times B

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

    Plugging the side lengths in above formula:

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

    A=2x^2+2x-4x-4\\\\A=2x^2-2x-4

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

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